Climate change mitigation technologies

with IIS

Count

0

0.01

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 10:45:33 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 598       
                Sample: 1 to 598       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                gdp            4.3189e-12  1.1104e-13  38.8940 < 2.2e-16 ***      
                pop           -2.5399e-07  3.1105e-07  -0.8165 0.4145721          
                idAUT          3.2108e+01  5.5422e+01   0.5793 0.5626106          
                idBEL         -6.1810e+01  5.5373e+01  -1.1163 0.2648298          
                idBRA         -1.0310e+02  7.6147e+01  -1.3540 0.1763384          
                idCAN          2.4978e+02  5.5399e+01   4.5088 8.081e-06 ***      
                idCHE          1.2936e+01  5.5436e+01   0.2333 0.8155878          
                idCHN          5.0287e+02  3.9783e+02   1.2640 0.2067928          
                idDEU          1.6357e+03  7.2470e+01  22.5710 < 2.2e-16 ***      
                idDNK          3.8606e+01  5.5493e+01   0.6957 0.4869287          
                idESP         -1.2937e+01  5.5730e+01  -0.2321 0.8165191          
                idFIN         -5.0183e+01  5.5497e+01  -0.9043 0.3662847          
                idFRA          7.3185e+02  5.6832e+01  12.8774 < 2.2e-16 ***      
                idGBR          4.9436e+02  5.6696e+01   8.7195 < 2.2e-16 ***      
                idIND          1.2201e+01  3.6556e+02   0.0334 0.9733870          
                idISR         -5.7286e+01  5.6720e+01  -1.0100 0.3129803          
                idITA          1.6466e+02  5.6483e+01   2.9152 0.0037098 **       
                idJPN          1.5039e+03  1.6006e+02   9.3962 < 2.2e-16 ***      
                idKOR         -3.3280e+03  1.5031e+02 -22.1410 < 2.2e-16 ***      
                idNLD          1.0512e+02  5.5297e+01   1.9010 0.0578575 .        
                idNOR         -1.2601e+02  5.5513e+01  -2.2699 0.0236259 *        
                idRUS         -3.5818e+02  6.7590e+01  -5.2993 1.726e-07 ***      
                idSGP         -1.2981e+02  5.5515e+01  -2.3383 0.0197509 *        
                idSWE          3.1810e+01  5.5402e+01   0.5742 0.5661037          
                idUSA          3.2161e+03  1.2874e+02  24.9803 < 2.2e-16 ***      
                time1995       3.6767e+00  5.7395e+01   0.0641 0.9489468          
                time1996       1.5265e+01  5.7392e+01   0.2660 0.7903655          
                time1997       2.3062e+01  5.6700e+01   0.4067 0.6843759          
                time1998       3.2589e+01  5.6402e+01   0.5778 0.5636570          
                time1999       6.7880e+01  5.6407e+01   1.2034 0.2293773          
                time2000       1.0097e+01  5.5659e+01   0.1814 0.8561123          
                time2001       3.7258e+01  5.5686e+01   0.6691 0.5037508          
                time2002       4.0390e+01  5.5713e+01   0.7250 0.4687996          
                time2003       7.2748e+01  5.5748e+01   1.3049 0.1924968          
                time2004       1.2211e+02  5.5784e+01   2.1889 0.0290534 *        
                time2005       1.3430e+02  5.6004e+01   2.3981 0.0168354 *        
                time2006       2.0107e+02  5.6049e+01   3.5875 0.0003657 ***      
                time2007       1.9945e+02  5.7031e+01   3.4972 0.0005109 ***      
                time2008       2.1146e+02  5.6479e+01   3.7440 0.0002015 ***      
                time2009       3.4142e+02  5.6531e+01   6.0395 2.963e-09 ***      
                time2010       3.9728e+02  5.6634e+01   7.0150 7.270e-12 ***      
                time2011       3.5187e+02  5.7232e+01   6.1482 1.573e-09 ***      
                time2012       3.5351e+02  5.7299e+01   6.1695 1.387e-09 ***      
                time2013       3.3264e+02  5.6792e+01   5.8573 8.395e-09 ***      
                time2014       3.1559e+02  5.6865e+01   5.5498 4.583e-08 ***      
                time2015       2.7431e+02  5.6941e+01   4.8174 1.915e-06 ***      
                time2016       2.6996e+02  5.7500e+01   4.6950 3.423e-06 ***      
                time2017       2.7558e+02  5.7566e+01   4.7873 2.213e-06 ***      
                time2018       2.9071e+02  5.7631e+01   5.0444 6.315e-07 ***      
                time2019       1.8060e+02  5.7689e+01   3.1306 0.0018437 **       
                iis172         1.4730e+03  2.1902e+02   6.7256 4.662e-11 ***      
                iis173         2.2636e+03  2.1911e+02  10.3312 < 2.2e-16 ***      
                iis174         2.8233e+03  2.1919e+02  12.8808 < 2.2e-16 ***      
                iis175         3.3196e+03  2.1926e+02  15.1402 < 2.2e-16 ***      
                iis399        -9.9213e+02  2.4492e+02  -4.0509 5.888e-05 ***      
                iis400        -8.6630e+02  2.4491e+02  -3.5372 0.0004410 ***      
                iis401        -6.8350e+02  2.4473e+02  -2.7928 0.0054195 **       
                iis415         1.3022e+03  2.1199e+02   6.1428 1.624e-09 ***      
                iis416         9.2353e+02  2.1198e+02   4.3567 1.594e-05 ***      
                iis574        -1.7067e+03  2.1910e+02  -7.7895 3.733e-14 ***      
                iis575        -1.5655e+03  2.1909e+02  -7.1452 3.088e-12 ***      
                iis576        -1.3858e+03  2.1889e+02  -6.3309 5.311e-10 ***      
                iis577        -1.2142e+03  2.1880e+02  -5.5493 4.596e-08 ***      
                iis578        -9.6132e+02  2.1880e+02  -4.3937 1.354e-05 ***      
                iis586         1.1832e+03  2.4467e+02   4.8359 1.753e-06 ***      
                iis587         1.6614e+03  2.4453e+02   6.7944 3.014e-11 ***      
                iis588         2.0238e+03  2.4453e+02   8.2762 1.098e-15 ***      
                iis589         2.5651e+03  2.4457e+02  10.4882 < 2.2e-16 ***      
                iis590         2.9586e+03  2.4477e+02  12.0870 < 2.2e-16 ***      
                iis591         3.8336e+03  2.4478e+02  15.6616 < 2.2e-16 ***      
                iis592         4.3793e+03  2.4465e+02  17.9004 < 2.2e-16 ***      
                iis593         3.4797e+03  2.4465e+02  14.2232 < 2.2e-16 ***      
                iis594         3.4384e+03  2.4466e+02  14.0535 < 2.2e-16 ***      
                iis595         3.5043e+03  2.4480e+02  14.3147 < 2.2e-16 ***      
                iis596         3.0829e+03  2.4481e+02  12.5928 < 2.2e-16 ***      
                iis597         2.6864e+03  2.4482e+02  10.9727 < 2.2e-16 ***      
                iis598         2.0951e+03  2.4483e+02   8.5574 < 2.2e-16 ***      
                fesisCHN.2011  1.4238e+03  1.0488e+02  13.5755 < 2.2e-16 ***      
                fesisDEU.2007  1.0757e+03  2.0803e+02   5.1710 3.339e-07 ***      
                fesisDEU.2008  6.7724e+02  2.0805e+02   3.2552 0.0012076 **       
                fesisJPN.2000  1.7319e+03  1.5481e+02  11.1873 < 2.2e-16 ***      
                fesisJPN.2010  2.2383e+03  9.4968e+01  23.5693 < 2.2e-16 ***      
                fesisUSA.2005  1.1070e+03  1.6704e+02   6.6273 8.640e-11 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   190.74  1 < 2.2e-16 ***      
                Ljung-Box ARCH(1) 101.92  1 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression   195.43128      
                R-squared            0.98992      
                Log-lik.(n=598)  -3961.60012      
0.05

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 10:45:28 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 598       
                Sample: 1 to 598       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                gdp            4.8309e-12  1.2520e-13  38.5850 < 2.2e-16 ***      
                pop            4.8577e-06  8.5164e-07   5.7039 2.041e-08 ***      
                idAUT         -8.4852e+00  5.4139e+01  -0.1567 0.8755234          
                idBEL         -2.5903e+01  6.1057e+01  -0.4243 0.6715715          
                idBRA         -9.1213e+02  1.4817e+02  -6.1562 1.566e-09 ***      
                idCAN          8.1831e+01  5.4022e+01   1.5148 0.1304817          
                idCHE         -2.4547e+01  5.4249e+01  -0.4525 0.6511193          
                idCHN         -6.0284e+03  1.0743e+03  -5.6115 3.382e-08 ***      
                idDEU          1.2406e+03  8.2226e+01  15.0880 < 2.2e-16 ***      
                idDNK          1.1615e+01  5.4666e+01   0.2125 0.8318258          
                idESP         -2.3640e+02  5.6538e+01  -4.1812 3.442e-05 ***      
                idFIN         -7.5362e+01  5.4709e+01  -1.3775 0.1689922          
                idFRA          4.0736e+02  6.4279e+01   6.3374 5.355e-10 ***      
                idGBR          1.7988e+02  6.3368e+01   2.8387 0.0047205 **       
                idIND         -6.6177e+03  1.0677e+03  -6.1981 1.225e-09 ***      
                idISR         -9.6067e+01  5.5330e+01  -1.7363 0.0831537 .        
                idITA         -1.3350e+02  6.1923e+01  -2.1559 0.0315805 *        
                idJPN          1.6474e+03  1.3647e+02  12.0715 < 2.2e-16 ***      
                idKOR         -3.5998e+03  1.2685e+02 -28.3782 < 2.2e-16 ***      
                idNLD          2.2991e+01  5.3189e+01   0.4322 0.6657527          
                idNOR         -4.0178e+01  6.0757e+01  -0.6613 0.5087478          
                idRUS         -9.4222e+02  1.2483e+02  -7.5479 2.215e-13 ***      
                idSGP         -5.2546e+01  6.0831e+01  -0.8638 0.3881251          
                idSWE         -1.5515e+01  5.3968e+01  -0.2875 0.7738643          
                idUSA          1.7393e+03  2.4243e+02   7.1745 2.740e-12 ***      
                time1995      -2.5804e+01  5.5421e+01  -0.4656 0.6417181          
                time1996      -1.9516e+01  5.5589e+01  -0.3511 0.7256866          
                time1997      -1.4777e+01  5.5321e+01  -0.2671 0.7894975          
                time1998       8.0016e+00  5.5485e+01   0.1442 0.8853938          
                time1999      -2.0533e+01  5.5265e+01  -0.3715 0.7103980          
                time2000       2.7141e+01  5.5056e+01   0.4930 0.6222532          
                time2001       5.0982e+01  5.5226e+01   0.9231 0.3563918          
                time2002       4.8015e+01  5.5390e+01   0.8668 0.3864559          
                time2003       7.7255e+01  5.5558e+01   1.3905 0.1650061          
                time2004       7.7760e+01  5.5748e+01   1.3948 0.1637034          
                time2005       9.7567e+01  5.6202e+01   1.7360 0.0832007 .        
                time2006       1.3633e+02  5.6353e+01   2.4193 0.0159200 *        
                time2007       1.5894e+02  5.7175e+01   2.7798 0.0056504 **       
                time2008       1.7581e+02  5.7123e+01   3.0777 0.0022041 **       
                time2009       3.6743e+02  5.7972e+01   6.3380 5.336e-10 ***      
                time2010       4.1430e+02  5.8791e+01   7.0471 6.323e-12 ***      
                time2011       4.0152e+02  5.8364e+01   6.8795 1.865e-11 ***      
                time2012       3.9486e+02  5.8743e+01   6.7218 5.064e-11 ***      
                time2013       3.5141e+02  5.9149e+01   5.9412 5.413e-09 ***      
                time2014       3.3247e+02  5.9566e+01   5.5815 3.976e-08 ***      
                time2015       2.9799e+02  5.9982e+01   4.9681 9.396e-07 ***      
                time2016       3.1055e+02  5.9294e+01   5.2374 2.434e-07 ***      
                time2017       2.9690e+02  5.9581e+01   4.9831 8.725e-07 ***      
                time2018       3.0554e+02  5.9868e+01   5.1036 4.797e-07 ***      
                time2019       2.5314e+02  6.0139e+01   4.2091 3.056e-05 ***      
                iis172         1.3280e+03  1.7771e+02   7.4731 3.693e-13 ***      
                iis173         2.0922e+03  1.7861e+02  11.7136 < 2.2e-16 ***      
                iis174         2.6222e+03  1.7944e+02  14.6132 < 2.2e-16 ***      
                iis175         3.0328e+03  1.8013e+02  16.8366 < 2.2e-16 ***      
                iis326         1.8113e+03  3.0903e+02   5.8612 8.508e-09 ***      
                iis327         1.7092e+03  2.9633e+02   5.7679 1.433e-08 ***      
                iis328         1.6118e+03  2.8387e+02   5.6778 2.355e-08 ***      
                iis329         1.4811e+03  2.7163e+02   5.4526 7.928e-08 ***      
                iis330         1.4018e+03  2.5968e+02   5.3984 1.055e-07 ***      
                iis331         1.2747e+03  2.4801e+02   5.1399 3.996e-07 ***      
                iis332         1.1436e+03  2.3685e+02   4.8283 1.850e-06 ***      
                iis333         1.0688e+03  2.2623e+02   4.7243 3.030e-06 ***      
                iis334         9.4297e+02  2.1636e+02   4.3583 1.602e-05 ***      
                iis335         8.4926e+02  2.0737e+02   4.0954 4.940e-05 ***      
                iis336         7.5290e+02  1.9932e+02   3.7773 0.0001783 ***      
                iis337         6.2889e+02  1.9237e+02   3.2692 0.0011552 **       
                iis338         5.0906e+02  1.8670e+02   2.7266 0.0066304 **       
                iis339         4.7327e+02  1.8158e+02   2.6065 0.0094300 **       
                iis399        -1.9821e+03  1.7652e+02 -11.2285 < 2.2e-16 ***      
                iis400        -1.8598e+03  1.7649e+02 -10.5378 < 2.2e-16 ***      
                iis401        -1.6778e+03  1.7630e+02  -9.5169 < 2.2e-16 ***      
                iis402        -1.3264e+03  1.7630e+02  -7.5236 2.616e-13 ***      
                iis414         1.5688e+03  2.2751e+02   6.8956 1.682e-11 ***      
                iis415         2.4427e+03  2.2756e+02  10.7342 < 2.2e-16 ***      
                iis416         2.0698e+03  2.2753e+02   9.0967 < 2.2e-16 ***      
                iis417         1.4725e+03  2.2751e+02   6.4722 2.372e-10 ***      
                iis418         1.3302e+03  2.2750e+02   5.8472 9.205e-09 ***      
                iis419         9.9457e+02  2.2750e+02   4.3718 1.510e-05 ***      
                iis420         1.0876e+03  2.2756e+02   4.7795 2.334e-06 ***      
                iis421         1.3721e+03  2.2755e+02   6.0298 3.260e-09 ***      
                iis422         1.3837e+03  2.2754e+02   6.0811 2.424e-09 ***      
                iis574        -1.5672e+03  1.7698e+02  -8.8553 < 2.2e-16 ***      
                iis575        -1.4369e+03  1.7685e+02  -8.1247 3.768e-15 ***      
                iis576        -1.2711e+03  1.7656e+02  -7.1989 2.332e-12 ***      
                iis577        -1.1293e+03  1.7646e+02  -6.4001 3.672e-10 ***      
                iis578        -8.2924e+02  1.7621e+02  -4.7059 3.303e-06 ***      
                iis584         8.1518e+02  1.7619e+02   4.6268 4.774e-06 ***      
                iis585         1.4019e+03  1.7626e+02   7.9535 1.292e-14 ***      
                iis586         2.2593e+03  1.7653e+02  12.7988 < 2.2e-16 ***      
                iis587         2.7181e+03  1.7653e+02  15.3973 < 2.2e-16 ***      
                iis588         3.0053e+03  1.7689e+02  16.9894 < 2.2e-16 ***      
                iis589         3.5423e+03  1.7715e+02  19.9963 < 2.2e-16 ***      
                iis590         3.8915e+03  1.7762e+02  21.9086 < 2.2e-16 ***      
                iis591         4.7629e+03  1.7772e+02  26.8005 < 2.2e-16 ***      
                iis592         5.3198e+03  1.7780e+02  29.9196 < 2.2e-16 ***      
                iis593         4.4101e+03  1.7791e+02  24.7878 < 2.2e-16 ***      
                iis594         4.3496e+03  1.7804e+02  24.4311 < 2.2e-16 ***      
                iis595         4.3866e+03  1.7894e+02  24.5142 < 2.2e-16 ***      
                iis596         3.9738e+03  1.7910e+02  22.1870 < 2.2e-16 ***      
                iis597         3.5747e+03  1.7923e+02  19.9450 < 2.2e-16 ***      
                iis598         2.9179e+03  1.7933e+02  16.2710 < 2.2e-16 ***      
                fesisAUS.2009 -2.4359e+02  6.5728e+01  -3.7060 0.0002349 ***      
                fesisBEL.2008 -1.8508e+02  6.5329e+01  -2.8330 0.0048034 **       
                fesisBRA.2009 -3.6336e+02  6.8087e+01  -5.3368 1.456e-07 ***      
                fesisCHN.2011  9.2788e+02  1.0721e+02   8.6551 < 2.2e-16 ***      
                fesisDEU.2007  1.0894e+03  1.6758e+02   6.5006 1.994e-10 ***      
                fesisDEU.2008  6.1378e+02  1.6773e+02   3.6595 0.0002805 ***      
                fesisIND.2016 -5.1759e+02  1.2506e+02  -4.1388 4.117e-05 ***      
                fesisJPN.2004  1.0537e+03  9.7495e+01  10.8074 < 2.2e-16 ***      
                fesisJPN.2010  6.6803e+02  1.7403e+02   3.8385 0.0001402 ***      
                fesisKOR.2000 -7.7597e+02  1.1236e+02  -6.9064 1.570e-11 ***      
                fesisNOR.2009 -2.4925e+02  6.5779e+01  -3.7893 0.0001701 ***      
                fesisRUS.2007 -3.6372e+02  6.5382e+01  -5.5630 4.394e-08 ***      
                fesisSGP.2009 -2.2569e+02  6.5760e+01  -3.4320 0.0006504 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   186.48  1 < 2.2e-16 ***      
                Ljung-Box ARCH(1) 120.16  1 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression   157.19555      
                R-squared            0.99387      
                Log-lik.(n=598)  -3815.90460      

1

0.01

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 10:45:19 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 574       
                Sample: 1 to 574       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            9.5750e-01  8.9463e-03 107.0268 < 2.2e-16 ***      
                gdp           -3.0451e-13  1.2934e-13  -2.3543 0.0189498 *        
                pop            1.8448e-07  1.1472e-07   1.6081 0.1084540          
                idAUT          8.7528e+00  1.8634e+01   0.4697 0.6387602          
                idBEL         -8.4834e-01  1.8622e+01  -0.0456 0.9636834          
                idBRA         -3.8253e+01  2.6833e+01  -1.4256 0.1546202          
                idCAN          2.1139e+01  1.8756e+01   1.1271 0.2602521          
                idCHE          3.6534e+00  1.8639e+01   0.1960 0.8446837          
                idCHN         -1.7625e+02  1.4543e+02  -1.2119 0.2261280          
                idDEU          2.1838e+02  2.9692e+01   7.3547 8.035e-13 ***      
                idDNK          1.3658e+01  1.8668e+01   0.7316 0.4647467          
                idESP         -3.6836e+00  1.8762e+01  -0.1963 0.8444289          
                idFIN          2.0803e-01  1.8669e+01   0.0111 0.9911138          
                idFRA          6.1813e+01  2.0257e+01   3.0514 0.0024002 **       
                idGBR          3.5889e+01  1.9645e+01   1.8269 0.0683169 .        
                idIND         -1.7901e+02  1.3334e+02  -1.3425 0.1800568          
                idISR         -1.0657e+00  1.9100e+01  -0.0558 0.9555261          
                idITA          9.8262e+00  1.9117e+01   0.5140 0.6074879          
                idJPN          5.1270e+02  7.1769e+01   7.1438 3.281e-12 ***      
                idKOR          3.2827e+02  1.1251e+02   2.9178 0.0036863 **       
                idNLD          1.1765e+01  1.8605e+01   0.6324 0.5274446          
                idNOR         -2.8672e+00  1.8712e+01  -0.1532 0.8782802          
                idRUS         -8.0326e+00  2.3614e+01  -0.3402 0.7338757          
                idSGP         -4.8885e+00  1.8708e+01  -0.2613 0.7939613          
                idSWE          9.0842e+00  1.8636e+01   0.4875 0.6261528          
                idUSA          2.9699e+02  4.5581e+01   6.5157 1.789e-10 ***      
                time1996      -9.7703e+00  1.8759e+01  -0.5208 0.6027221          
                time1997      -1.3726e+01  1.8731e+01  -0.7328 0.4640466          
                time1998      -4.8478e+00  1.8539e+01  -0.2615 0.7938254          
                time1999       5.8527e+00  1.8681e+01   0.3133 0.7541942          
                time2000       1.5005e+01  1.8681e+01   0.8032 0.4222465          
                time2001       3.9889e+00  1.8518e+01   0.2154 0.8295378          
                time2002      -1.2786e+01  1.8541e+01  -0.6896 0.4907542          
                time2003      -1.2225e+01  1.8796e+01  -0.6504 0.5157467          
                time2004       2.4513e+01  1.8627e+01   1.3160 0.1887920          
                time2005       2.0116e+01  1.8605e+01   1.0812 0.2801386          
                time2006       3.4841e+01  1.8640e+01   1.8692 0.0621935 .        
                time2007       5.3194e+01  1.8913e+01   2.8126 0.0051099 **       
                time2008       4.1833e+01  1.8880e+01   2.2157 0.0271682 *        
                time2009       4.9794e+01  1.9052e+01   2.6136 0.0092333 **       
                time2010       5.8025e+01  1.9196e+01   3.0228 0.0026348 **       
                time2011       2.2075e+01  1.9310e+01   1.1432 0.2535215          
                time2012      -1.3117e+01  1.9372e+01  -0.6771 0.4986435          
                time2013      -2.0664e+01  1.9618e+01  -1.0533 0.2927109          
                time2014      -1.4480e+01  1.9273e+01  -0.7513 0.4528268          
                time2015      -1.5823e+01  1.9321e+01  -0.8190 0.4132103          
                time2016       1.0781e+01  1.9271e+01   0.5594 0.5761267          
                time2017       2.6103e+01  1.9610e+01   1.3311 0.1837679          
                time2018       1.2459e+01  1.9473e+01   0.6398 0.5225872          
                time2019      -4.5403e+01  1.9673e+01  -2.3079 0.0214189 *        
                iis165         8.6288e+02  7.0448e+01  12.2484 < 2.2e-16 ***      
                iis166         6.5130e+02  7.2388e+01   8.9974 < 2.2e-16 ***      
                iis167         4.8000e+02  7.4420e+01   6.4499 2.676e-10 ***      
                iis168         3.7420e+02  7.6388e+01   4.8986 1.311e-06 ***      
                iis186        -5.1682e+02  6.8113e+01  -7.5876 1.639e-13 ***      
                iis386         4.0678e+02  7.0029e+01   5.8088 1.130e-08 ***      
                iis387         5.0092e+02  6.9444e+01   7.2133 2.071e-12 ***      
                iis390         2.9622e+02  6.9330e+01   4.2726 2.319e-05 ***      
                iis395        -2.4225e+02  7.8461e+01  -3.0875 0.0021322 **       
                iis396         7.6661e+02  7.9421e+01   9.6525 < 2.2e-16 ***      
                iis397         2.0089e+03  7.8112e+01  25.7176 < 2.2e-16 ***      
                iis398         1.0880e+03  7.5966e+01  14.3223 < 2.2e-16 ***      
                iis400        -2.9409e+02  7.6104e+01  -3.8643 0.0001263 ***      
                iis406        -1.5312e+03  7.6089e+01 -20.1241 < 2.2e-16 ***      
                iis426        -5.7014e+02  7.0447e+01  -8.0932 4.571e-15 ***      
                iis428        -5.1282e+02  7.1901e+01  -7.1322 3.542e-12 ***      
                iis562         3.3465e+02  7.1383e+01   4.6881 3.575e-06 ***      
                iis567         8.7985e+02  8.0708e+01  10.9017 < 2.2e-16 ***      
                iis568         5.7227e+02  8.0732e+01   7.0884 4.722e-12 ***      
                iis569        -8.5294e+02  8.0949e+01 -10.5368 < 2.2e-16 ***      
                iis572        -4.3315e+02  8.0651e+01  -5.3706 1.211e-07 ***      
                iis573        -4.0218e+02  8.0681e+01  -4.9848 8.605e-07 ***      
                iis574        -6.8101e+02  8.0974e+01  -8.4102 4.441e-16 ***      
                fesisCHN.2008  2.3590e+02  3.2369e+01   7.2877 1.261e-12 ***      
                fesisJPN.2008 -2.7151e+02  5.5536e+01  -4.8890 1.374e-06 ***      
                fesisJPN.2016  3.8762e+02  5.4010e+01   7.1768 2.638e-12 ***      
                fesisKOR.2003  2.8913e+02  5.6340e+01   5.1318 4.135e-07 ***      
                fesisKOR.2009  6.3796e+02  5.9163e+01  10.7831 < 2.2e-16 ***      
                fesisKOR.2011 -3.5758e+02  6.3249e+01  -5.6535 2.665e-08 ***      
                fesisUSA.2005  3.6426e+02  4.3496e+01   8.3744 5.797e-16 ***      
                fesisUSA.2012 -3.7884e+02  5.7808e+01  -6.5535 1.418e-10 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    5.1493  1   0.02326 *        
                Ljung-Box ARCH(1) 15.8638  1 6.807e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    64.34689      
                R-squared            0.99894      
                Log-lik.(n=574)  -3164.27237      
0.05

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 10:45:21 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 574       
                Sample: 1 to 574       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            9.4867e-01  8.4378e-03 112.4312 < 2.2e-16 ***      
                gdp           -1.5172e-13  1.3055e-13  -1.1622 0.2457288          
                pop            1.4420e-07  8.8871e-08   1.6226 0.1053365          
                idAUT          8.6414e+00  1.3960e+01   0.6190 0.5362040          
                idBEL         -1.6681e+00  1.3953e+01  -0.1196 0.9048840          
                idBRA         -3.2942e+01  2.0462e+01  -1.6099 0.1080688          
                idCAN          2.3729e+01  1.4103e+01   1.6825 0.0931151 .        
                idCHE          3.3381e+00  1.3964e+01   0.2391 0.8111655          
                idCHN         -1.2835e+02  1.1216e+02  -1.1443 0.2530473          
                idDEU          1.8258e+02  2.3134e+01   7.8925 2.009e-14 ***      
                idDNK          1.3308e+01  1.3990e+01   0.9512 0.3419573          
                idESP         -2.8699e+00  1.4065e+01  -0.2040 0.8384074          
                idFIN         -6.9792e-01  1.3988e+01  -0.0499 0.9602262          
                idFRA          6.9678e+01  1.5600e+01   4.4664 9.919e-06 ***      
                idGBR          4.1688e+01  1.4926e+01   2.7930 0.0054299 **       
                idIND         -1.4313e+02  1.0197e+02  -1.4037 0.1610437          
                idISR         -1.7595e+00  1.4310e+01  -0.1230 0.9021966          
                idITA          1.2639e+01  1.4360e+01   0.8801 0.3792199          
                idJPN          4.2739e+02  6.7561e+01   6.3259 5.755e-10 ***      
                idKOR          1.9915e+02  1.1202e+02   1.7779 0.0760534 .        
                idNLD          1.2585e+01  1.3946e+01   0.9024 0.3672941          
                idNOR         -4.7589e+00  1.4036e+01  -0.3391 0.7347185          
                idRUS         -1.4375e+01  1.8084e+01  -0.7949 0.4270562          
                idSGP         -6.5245e+00  1.4029e+01  -0.4651 0.6420819          
                idSWE          8.6337e+00  1.3968e+01   0.6181 0.5367961          
                idUSA          3.5414e+02  3.6112e+01   9.8065 < 2.2e-16 ***      
                time1996      -6.0344e+00  1.4078e+01  -0.4286 0.6683833          
                time1997      -9.9645e+00  1.4050e+01  -0.7092 0.4785216          
                time1998      -5.9292e-01  1.3919e+01  -0.0426 0.9660393          
                time1999       8.0379e+00  1.4016e+01   0.5735 0.5666001          
                time2000       1.7010e+01  1.4014e+01   1.2138 0.2254341          
                time2001       8.3945e+00  1.3914e+01   0.6033 0.5465785          
                time2002      -8.5108e+00  1.3942e+01  -0.6104 0.5418694          
                time2003       3.1757e+00  1.4273e+01   0.2225 0.8240189          
                time2004       2.0791e+01  1.4148e+01   1.4696 0.1423261          
                time2005       2.5713e+01  1.3977e+01   1.8397 0.0664338 .        
                time2006       2.9263e+01  1.3996e+01   2.0908 0.0370702 *        
                time2007       3.6756e+01  1.4310e+01   2.5685 0.0105152 *        
                time2008       3.4702e+01  1.4186e+01   2.4463 0.0147911 *        
                time2009       4.0323e+01  1.4425e+01   2.7953 0.0053919 **       
                time2010       5.6399e+01  1.4552e+01   3.8756 0.0001211 ***      
                time2011       1.8957e+01  1.4607e+01   1.2977 0.1949944          
                time2012       4.7735e+00  1.4714e+01   0.3244 0.7457647          
                time2013      -1.5288e+01  1.4806e+01  -1.0326 0.3023195          
                time2014      -1.0379e+01  1.4531e+01  -0.7143 0.4753845          
                time2015      -2.1834e+01  1.4635e+01  -1.4919 0.1363815          
                time2016       1.5336e-01  1.4644e+01   0.0105 0.9916482          
                time2017       2.8068e+01  1.4749e+01   1.9030 0.0576334 .        
                time2018       2.0545e+01  1.4722e+01   1.3956 0.1634751          
                time2019      -1.1018e+01  1.4990e+01  -0.7350 0.4626867          
                iis164         2.0772e+02  5.3172e+01   3.9066 0.0001070 ***      
                iis165         9.0671e+02  5.3647e+01  16.9014 < 2.2e-16 ***      
                iis166         6.9143e+02  5.5889e+01  12.3715 < 2.2e-16 ***      
                iis167         5.2066e+02  5.8318e+01   8.9280 < 2.2e-16 ***      
                iis168         3.9326e+02  6.0695e+01   6.4793 2.280e-10 ***      
                iis186        -2.4239e+02  6.9765e+01  -3.4744 0.0005582 ***      
                iis192        -5.4698e+02  5.4286e+01 -10.0759 < 2.2e-16 ***      
                iis386         4.5167e+02  5.3140e+01   8.4996 2.395e-16 ***      
                iis387         5.4992e+02  5.2680e+01  10.4389 < 2.2e-16 ***      
                iis390         3.3758e+02  5.2903e+01   6.3812 4.131e-10 ***      
                iis391         2.2528e+02  5.3265e+01   4.2294 2.805e-05 ***      
                iis394         2.5908e+02  5.4430e+01   4.7598 2.565e-06 ***      
                iis395        -2.4972e+02  5.9968e+01  -4.1642 3.702e-05 ***      
                iis396         7.6284e+02  6.1149e+01  12.4752 < 2.2e-16 ***      
                iis397         2.0002e+03  5.9518e+01  33.6066 < 2.2e-16 ***      
                iis398         1.0976e+03  5.6957e+01  19.2700 < 2.2e-16 ***      
                iis400        -2.9117e+02  5.7025e+01  -5.1059 4.748e-07 ***      
                iis406        -1.5638e+03  5.7088e+01 -27.3917 < 2.2e-16 ***      
                iis420         1.7153e+02  7.0817e+01   2.4222 0.0157958 *        
                iis426        -8.3161e+02  7.0137e+01 -11.8570 < 2.2e-16 ***      
                iis428        -3.7265e+02  6.1284e+01  -6.0807 2.437e-09 ***      
                iis558        -2.7326e+02  5.3012e+01  -5.1546 3.715e-07 ***      
                iis562         3.4025e+02  5.3597e+01   6.3484 5.030e-10 ***      
                iis567         8.4958e+02  6.0593e+01  14.0210 < 2.2e-16 ***      
                iis568         5.6229e+02  6.0525e+01   9.2903 < 2.2e-16 ***      
                iis569        -8.5697e+02  6.0832e+01 -14.0874 < 2.2e-16 ***      
                iis572        -4.4320e+02  6.0428e+01  -7.3343 9.505e-13 ***      
                iis573        -4.2202e+02  6.0516e+01  -6.9737 1.022e-11 ***      
                iis574        -7.3051e+02  6.0882e+01 -11.9987 < 2.2e-16 ***      
                fesisCHN.2008  2.2219e+02  2.5472e+01   8.7231 < 2.2e-16 ***      
                fesisDEU.2006  2.7178e+02  2.7922e+01   9.7337 < 2.2e-16 ***      
                fesisDEU.2012 -4.7801e+02  5.3872e+01  -8.8730 < 2.2e-16 ***      
                fesisDEU.2014  2.8824e+02  5.4267e+01   5.3115 1.664e-07 ***      
                fesisJPN.2008 -1.9103e+02  4.8969e+01  -3.9012 0.0001093 ***      
                fesisJPN.2016  3.8502e+02  4.0675e+01   9.4658 < 2.2e-16 ***      
                fesisKOR.2003  2.5141e+02  5.1204e+01   4.9099 1.250e-06 ***      
                fesisKOR.2009  5.3708e+02  6.1588e+01   8.7206 < 2.2e-16 ***      
                fesisKOR.2011 -3.0775e+02  5.7375e+01  -5.3638 1.267e-07 ***      
                fesisKOR.2015  2.7447e+02  5.9062e+01   4.6471 4.351e-06 ***      
                fesisKOR.2017 -4.2434e+02  6.2513e+01  -6.7880 3.350e-11 ***      
                fesisUSA.2005  3.6997e+02  3.7314e+01   9.9151 < 2.2e-16 ***      
                fesisUSA.2012 -3.5198e+02  4.5211e+01  -7.7852 4.289e-14 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df  p-value         
                Ljung-Box AR(1)   1.3037  1 0.253531         
                Ljung-Box ARCH(1) 7.0262  1 0.008033 **      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    48.19845      
                R-squared            0.99942      
                Log-lik.(n=574)  -2992.90839      

Count Ma

0

0.01

                Formula: count_ma~ gdp_ma + pop_ma      
                 (1995:2019); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 10:47:38 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 598       
                Sample: 1 to 598       
                      
                SPECIFIC mean equation:      
                      
                               coef  std.error   t-stat   p-value          
                gdp_ma     -0.17513    0.27753  -0.6310 0.5282963          
                pop_ma      5.89936    1.08037   5.4605 7.258e-08 ***      
                idAUT       7.12345    2.60097   2.7388 0.0063712 **       
                idBEL       8.53469    2.57539   3.3139 0.0009817 ***      
                idBRA      16.39926    2.39263   6.8541 1.969e-11 ***      
                idCAN       4.87331    2.40159   2.0292 0.0429288 *        
                idCHE       2.39194    2.46833   0.9691 0.3329545          
                idCHN      27.66991    2.99370   9.2427 < 2.2e-16 ***      
                idDEU       9.20272    2.80012   3.2865 0.0010803 **       
                idDNK      14.37296    2.61037   5.5061 5.685e-08 ***      
                idESP       9.95394    2.49724   3.9860 7.646e-05 ***      
                idFIN       7.16883    2.64345   2.7119 0.0069031 **       
                idFRA       7.90892    2.58624   3.0581 0.0023383 **       
                idGBR       6.58894    2.54617   2.5878 0.0099199 **       
                idIND      17.14274    2.52602   6.7865 3.037e-11 ***      
                idISR       2.53353    2.50845   1.0100 0.3129495          
                idITA       8.93907    2.77711   3.2188 0.0013646 **       
                idJPN       8.68452    2.84837   3.0489 0.0024092 **       
                idKOR      17.93266    2.55189   7.0272 6.392e-12 ***      
                idNLD       8.32082    2.58112   3.2237 0.0013419 **       
                idNOR       9.40108    2.45393   3.8310 0.0001426 ***      
                idRUS      13.82379    2.87966   4.8005 2.053e-06 ***      
                idSGP       6.93917    2.77949   2.4966 0.0128376 *        
                idSWE       5.51819    2.51067   2.1979 0.0283814 *        
                idUSA       5.21740    2.43099   2.1462 0.0323027 *        
                time1995    0.29398    3.03967   0.0967 0.9229883          
                time1996   -0.36595    3.02718  -0.1209 0.9038255          
                time1997    5.71603    2.97539   1.9211 0.0552459 .        
                time1998    1.56435    2.99876   0.5217 0.6021179          
                time1999    4.06988    3.04112   1.3383 0.1813693          
                time2000    0.76600    3.01228   0.2543 0.7993660          
                time2001   -1.96329    2.99122  -0.6564 0.5118782          
                time2002   -2.88477    2.87261  -1.0042 0.3157167          
                time2003   -2.12711    2.96402  -0.7176 0.4732875          
                time2004    2.84116    2.99353   0.9491 0.3429960          
                time2005    5.05737    3.05550   1.6552 0.0984724 .        
                time2006    6.79787    3.08176   2.2058 0.0278163 *        
                time2007    3.92404    3.09326   1.2686 0.2051395          
                time2008    0.89079    2.96589   0.3003 0.7640289          
                time2009   -0.95312    2.93144  -0.3251 0.7452032          
                time2010   -2.40609    2.88417  -0.8342 0.4045159          
                time2011   -6.22073    2.94222  -2.1143 0.0349484 *        
                time2012  -13.03103    2.88514  -4.5166 7.726e-06 ***      
                time2013  -16.27928    2.88438  -5.6439 2.689e-08 ***      
                time2014  -17.17446    2.88812  -5.9466 4.925e-09 ***      
                time2015  -13.05177    2.89749  -4.5045 8.162e-06 ***      
                time2016  -11.37172    2.89136  -3.9330 9.485e-05 ***      
                time2017   -8.85165    2.88036  -3.0731 0.0022256 **       
                time2018  -12.49336    2.84152  -4.3967 1.324e-05 ***      
                time2019  -10.32336    2.70952  -3.8100 0.0001550 ***      
                iis524    -28.77111    8.97886  -3.2043 0.0014339 **       
                iis525    -43.20423    8.98553  -4.8082 1.979e-06 ***      
                iis526    942.71489    9.00747 104.6593 < 2.2e-16 ***      
                iis527   1000.70537    8.83586 113.2550 < 2.2e-16 ***      
                iis528   1023.22526    8.80386 116.2246 < 2.2e-16 ***      
                iis530    -32.18049    8.79299  -3.6598 0.0002773 ***      
                iis532     37.35010    8.96078   4.1682 3.577e-05 ***      
                iis533     37.40513    8.87905   4.2127 2.957e-05 ***      
                iis535    -24.02121    8.91786  -2.6936 0.0072885 **       
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)   111.410  1 < 2.2e-16 ***      
                Ljung-Box ARCH(1)  70.322  1 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression     8.33843      
                R-squared            0.98796      
                Log-lik.(n=598)  -2087.30856      
0.05

                Formula: count_ma~ gdp_ma + pop_ma      
                 (1995:2019); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 10:47:40 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 598       
                Sample: 1 to 598       
                      
                SPECIFIC mean equation:      
                      
                               coef  std.error   t-stat   p-value          
                gdp_ma     -0.17513    0.27753  -0.6310 0.5282963          
                pop_ma      5.89936    1.08037   5.4605 7.258e-08 ***      
                idAUT       7.12345    2.60097   2.7388 0.0063712 **       
                idBEL       8.53469    2.57539   3.3139 0.0009817 ***      
                idBRA      16.39926    2.39263   6.8541 1.969e-11 ***      
                idCAN       4.87331    2.40159   2.0292 0.0429288 *        
                idCHE       2.39194    2.46833   0.9691 0.3329545          
                idCHN      27.66991    2.99370   9.2427 < 2.2e-16 ***      
                idDEU       9.20272    2.80012   3.2865 0.0010803 **       
                idDNK      14.37296    2.61037   5.5061 5.685e-08 ***      
                idESP       9.95394    2.49724   3.9860 7.646e-05 ***      
                idFIN       7.16883    2.64345   2.7119 0.0069031 **       
                idFRA       7.90892    2.58624   3.0581 0.0023383 **       
                idGBR       6.58894    2.54617   2.5878 0.0099199 **       
                idIND      17.14274    2.52602   6.7865 3.037e-11 ***      
                idISR       2.53353    2.50845   1.0100 0.3129495          
                idITA       8.93907    2.77711   3.2188 0.0013646 **       
                idJPN       8.68452    2.84837   3.0489 0.0024092 **       
                idKOR      17.93266    2.55189   7.0272 6.392e-12 ***      
                idNLD       8.32082    2.58112   3.2237 0.0013419 **       
                idNOR       9.40108    2.45393   3.8310 0.0001426 ***      
                idRUS      13.82379    2.87966   4.8005 2.053e-06 ***      
                idSGP       6.93917    2.77949   2.4966 0.0128376 *        
                idSWE       5.51819    2.51067   2.1979 0.0283814 *        
                idUSA       5.21740    2.43099   2.1462 0.0323027 *        
                time1995    0.29398    3.03967   0.0967 0.9229883          
                time1996   -0.36595    3.02718  -0.1209 0.9038255          
                time1997    5.71603    2.97539   1.9211 0.0552459 .        
                time1998    1.56435    2.99876   0.5217 0.6021179          
                time1999    4.06988    3.04112   1.3383 0.1813693          
                time2000    0.76600    3.01228   0.2543 0.7993660          
                time2001   -1.96329    2.99122  -0.6564 0.5118782          
                time2002   -2.88477    2.87261  -1.0042 0.3157167          
                time2003   -2.12711    2.96402  -0.7176 0.4732875          
                time2004    2.84116    2.99353   0.9491 0.3429960          
                time2005    5.05737    3.05550   1.6552 0.0984724 .        
                time2006    6.79787    3.08176   2.2058 0.0278163 *        
                time2007    3.92404    3.09326   1.2686 0.2051395          
                time2008    0.89079    2.96589   0.3003 0.7640289          
                time2009   -0.95312    2.93144  -0.3251 0.7452032          
                time2010   -2.40609    2.88417  -0.8342 0.4045159          
                time2011   -6.22073    2.94222  -2.1143 0.0349484 *        
                time2012  -13.03103    2.88514  -4.5166 7.726e-06 ***      
                time2013  -16.27928    2.88438  -5.6439 2.689e-08 ***      
                time2014  -17.17446    2.88812  -5.9466 4.925e-09 ***      
                time2015  -13.05177    2.89749  -4.5045 8.162e-06 ***      
                time2016  -11.37172    2.89136  -3.9330 9.485e-05 ***      
                time2017   -8.85165    2.88036  -3.0731 0.0022256 **       
                time2018  -12.49336    2.84152  -4.3967 1.324e-05 ***      
                time2019  -10.32336    2.70952  -3.8100 0.0001550 ***      
                iis524    -28.77111    8.97886  -3.2043 0.0014339 **       
                iis525    -43.20423    8.98553  -4.8082 1.979e-06 ***      
                iis526    942.71489    9.00747 104.6593 < 2.2e-16 ***      
                iis527   1000.70537    8.83586 113.2550 < 2.2e-16 ***      
                iis528   1023.22526    8.80386 116.2246 < 2.2e-16 ***      
                iis530    -32.18049    8.79299  -3.6598 0.0002773 ***      
                iis532     37.35010    8.96078   4.1682 3.577e-05 ***      
                iis533     37.40513    8.87905   4.2127 2.957e-05 ***      
                iis535    -24.02121    8.91786  -2.6936 0.0072885 **       
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)   111.410  1 < 2.2e-16 ***      
                Ljung-Box ARCH(1)  70.322  1 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression     8.33843      
                R-squared            0.98796      
                Log-lik.(n=598)  -2087.30856      

1

0.01

                Formula: count_ma~ gdp_ma + pop_ma      
                 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 10:47:35 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 574       
                Sample: 1 to 574       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1              0.436022    0.037575  11.6040 < 2.2e-16 ***      
                gdp_ma          -0.097228    0.270592  -0.3593 0.7195059          
                pop_ma           4.091174    0.989345   4.1352 4.139e-05 ***      
                idAUT            4.370465    2.389522   1.8290 0.0679748 .        
                idBEL            5.088900    2.372224   2.1452 0.0324028 *        
                idBRA            8.356241    2.278960   3.6667 0.0002712 ***      
                idCAN            2.565155    2.204904   1.1634 0.2452107          
                idCHE            1.491230    2.257645   0.6605 0.5092119          
                idCHN           15.542429    2.934514   5.2964 1.751e-07 ***      
                idDEU            5.884179    2.586214   2.2752 0.0233027 *        
                idDNK            8.592322    2.446428   3.5122 0.0004834 ***      
                idESP            5.475382    2.310960   2.3693 0.0181884 *        
                idFIN            4.721218    2.430959   1.9421 0.0526662 .        
                idFRA            4.765138    2.381820   2.0006 0.0459558 *        
                idGBR            4.011793    2.337127   1.7165 0.0866617 .        
                idIND            8.149818    2.410795   3.3806 0.0007782 ***      
                idISR            0.711997    2.291000   0.3108 0.7560932          
                idITA            5.648556    2.568209   2.1994 0.0282913 *        
                idJPN            5.251185    2.636663   1.9916 0.0469414 *        
                idKOR            9.644351    2.415829   3.9921 7.498e-05 ***      
                idNLD            4.525750    2.379966   1.9016 0.0577798 .        
                idNOR            4.847535    2.269069   2.1364 0.0331204 *        
                idRUS            8.029899    2.664130   3.0141 0.0027044 **       
                idSGP          -23.273581    4.368161  -5.3280 1.486e-07 ***      
                idSWE            3.162826    2.301243   1.3744 0.1699144          
                idUSA            2.902366    2.235902   1.2981 0.1948418          
                time1996        -1.320701    2.783560  -0.4745 0.6353692          
                time1997         5.904566    2.735901   2.1582 0.0313744 *        
                time1998        -1.481789    2.766915  -0.5355 0.5925085          
                time1999         2.882165    2.800489   1.0292 0.3038844          
                time2000        -1.652666    2.803503  -0.5895 0.5557838          
                time2001        -2.960909    2.700276  -1.0965 0.2733622          
                time2002        -3.083029    2.673507  -1.1532 0.2493712          
                time2003        -1.170865    2.715153  -0.4312 0.6664786          
                time2004         3.206083    2.746129   1.1675 0.2435510          
                time2005         3.828130    2.801357   1.3665 0.1723688          
                time2006         4.275427    2.846302   1.5021 0.1336833          
                time2007         1.032618    2.849778   0.3624 0.7172385          
                time2008        -1.236744    2.707755  -0.4567 0.6480493          
                time2009        -2.088580    2.670307  -0.7821 0.4344853          
                time2010        -2.832933    2.627577  -1.0782 0.2814687          
                time2011        -5.880664    2.692443  -2.1841 0.0294016 *        
                time2012       -10.772283    2.637125  -4.0849 5.112e-05 ***      
                time2013       -11.063141    2.662940  -4.1545 3.816e-05 ***      
                time2014       -10.642431    2.688967  -3.9578 8.624e-05 ***      
                time2015        -6.098132    2.706932  -2.2528 0.0246921 *        
                time2016        -6.278455    2.674323  -2.3477 0.0192675 *        
                time2017        -4.466863    2.657369  -1.6809 0.0933808 .        
                time2018        -9.185290    2.609516  -3.5199 0.0004699 ***      
                time2019        -5.231819    2.489442  -2.1016 0.0360723 *        
                iis504         986.454511    8.739466 112.8735 < 2.2e-16 ***      
                iis505         612.618190   36.789338  16.6521 < 2.2e-16 ***      
                iis506         611.605122   38.765904  15.7769 < 2.2e-16 ***      
                iis507        -415.521068   39.507588 -10.5175 < 2.2e-16 ***      
                iis509          53.191851    8.849120   6.0110 3.490e-09 ***      
                iis510          56.947425    8.884828   6.4095 3.297e-10 ***      
                iis511          49.469844    8.832267   5.6010 3.469e-08 ***      
                fesisSGP.2007   26.019765    4.434554   5.8675 7.916e-09 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df  p-value         
                Ljung-Box AR(1)   0.26083  1 0.609551         
                Ljung-Box ARCH(1) 7.91417  1 0.004905 **      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression     7.46494      
                R-squared            0.99075      
                Log-lik.(n=574)  -1939.33521      
0.05

                Formula: count_ma~ gdp_ma + pop_ma      
                 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 10:47:36 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 574       
                Sample: 1 to 574       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1              0.444902    0.037316  11.9224 < 2.2e-16 ***      
                gdp_ma          -0.154545    0.270290  -0.5718 0.5677249          
                pop_ma           1.945869    0.972456   2.0010 0.0459183 *        
                idAUT            2.201090    2.380048   0.9248 0.3554984          
                idBEL            3.031468    2.363605   1.2826 0.2002228          
                idBRA            7.429237    2.273382   3.2679 0.0011557 **       
                idCAN            1.655570    2.198255   0.7531 0.4517166          
                idCHE            0.137872    2.249995   0.0613 0.9511628          
                idCHN           13.999370    2.908247   4.8137 1.950e-06 ***      
                idDEU            2.850613    2.573648   1.1076 0.2685449          
                idDNK            6.295987    2.438782   2.5816 0.0101093 *        
                idESP            3.819744    2.303798   1.6580 0.0979223 .        
                idFIN            2.287788    2.419052   0.9457 0.3447260          
                idFRA            2.688475    2.373496   1.1327 0.2578643          
                idGBR            2.118883    2.328453   0.9100 0.3632503          
                idIND            8.360395    2.398363   3.4859 0.0005324 ***      
                idISR            1.953874    2.281366   0.8564 0.3921476          
                idITA            2.873296    2.559574   1.1226 0.2621441          
                idJPN            2.111427    2.625294   0.8043 0.4216161          
                idKOR            7.757109    2.402224   3.2291 0.0013209 **       
                idNLD            2.392666    2.370494   1.0094 0.3132793          
                idNOR            3.494811    2.262631   1.5446 0.1230625          
                idRUS            4.667147    2.645041   1.7645 0.0782424 .        
                idSGP           23.998754    3.801423   6.3131 5.909e-10 ***      
                idSWE            1.416459    2.291745   0.6181 0.5368025          
                idUSA            1.665074    2.228499   0.7472 0.4553003          
                time1996         2.086773    2.766654   0.7543 0.4510387          
                time1997         8.998949    2.724157   3.3034 0.0010217 **       
                time1998         1.591872    2.752688   0.5783 0.5633163          
                time1999         6.025446    2.789259   2.1602 0.0312153 *        
                time2000         1.512523    2.790522   0.5420 0.5880382          
                time2001         0.572584    2.731228   0.2096 0.8340289          
                time2002         0.293325    2.611943   0.1123 0.9106283          
                time2003         2.344622    2.655117   0.8831 0.3776171          
                time2004         6.443844    2.700336   2.3863 0.0173785 *        
                time2005         6.768397    2.802188   2.4154 0.0160652 *        
                time2006         7.253938    2.832138   2.5613 0.0107120 *        
                time2007         3.727434    2.833445   1.3155 0.1889229          
                time2008         1.410662    2.687218   0.5250 0.5998421          
                time2009         1.411695    2.660297   0.5307 0.5958878          
                time2010         0.480791    2.620160   0.1835 0.8544805          
                time2011        -2.561037    2.688790  -0.9525 0.3412970          
                time2012        -7.461185    2.633703  -2.8330 0.0047926 **       
                time2013        -7.664065    2.661481  -2.8796 0.0041472 **       
                time2014        -7.232311    2.689244  -2.6893 0.0073914 **       
                time2015        -2.673379    2.708069  -0.9872 0.3240130          
                time2016        -2.954525    2.674763  -1.1046 0.2698517          
                time2017        -1.232092    2.657831  -0.4636 0.6431513          
                time2018        -6.097090    2.609007  -2.3369 0.0198247 *        
                time2019        -2.379946    2.484517  -0.9579 0.3385572          
                iis503         -47.707559    8.534801  -5.5898 3.692e-08 ***      
                iis504         944.377871    8.631226 109.4141 < 2.2e-16 ***      
                iis505         559.315746   36.511811  15.3188 < 2.2e-16 ***      
                iis506         556.633972   38.473084  14.4681 < 2.2e-16 ***      
                iis507        -471.201420   39.206574 -12.0184 < 2.2e-16 ***      
                iis508         -54.572557    8.348421  -6.5369 1.514e-10 ***      
                iis512         -39.009918    8.423915  -4.6309 4.617e-06 ***      
                iis513         -36.412088    8.434656  -4.3170 1.898e-05 ***      
                fesisSGP.2009  -22.640214    4.126523  -5.4865 6.439e-08 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                    Chi-sq df p-value         
                Ljung-Box AR(1)   0.020141  1 0.88714         
                Ljung-Box ARCH(1) 9.486560  1 0.00207 **      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression     7.44197      
                R-squared            0.99083      
                Log-lik.(n=574)  -1937.06617      

Log Count

0

0.01

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 10:45:33 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 598       
                Sample: 1 to 598       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error   t-stat   p-value          
                lgdp            1.430875   0.091646  15.6130 < 2.2e-16 ***      
                lpop            0.185181   0.266814   0.6940 0.4879650          
                idAUT           2.108948   0.200256  10.5313 < 2.2e-16 ***      
                idBEL           1.197072   0.148963   8.0360 6.274e-15 ***      
                idBRA          -3.970953   0.561358  -7.0738 4.891e-12 ***      
                idCAN           0.103659   0.135153   0.7670 0.4434444          
                idCHE           1.501962   0.234354   6.4089 3.289e-10 ***      
                idCHN          -5.152648   1.006600  -5.1189 4.334e-07 ***      
                idDEU           1.086877   0.350081   3.1046 0.0020089 **       
                idDNK          -0.904046   0.364939  -2.4772 0.0135567 *        
                idESP          -0.636644   0.229923  -2.7689 0.0058245 **       
                idFIN           2.362342   0.297981   7.9278 1.370e-14 ***      
                idFRA           0.452056   0.296450   1.5249 0.1278915          
                idGBR           0.419839   0.295896   1.4189 0.1565357          
                idIND          -7.592278   0.926046  -8.1986 1.912e-15 ***      
                idISR           0.150960   0.264094   0.5716 0.5678315          
                idITA          -0.344800   0.282654  -1.2199 0.2230697          
                idJPN          -5.624306   0.494939 -11.3636 < 2.2e-16 ***      
                idKOR          -8.598328   0.516454 -16.6488 < 2.2e-16 ***      
                idNLD           1.239007   0.078630  15.7575 < 2.2e-16 ***      
                idNOR          -2.099707   0.423099  -4.9627 9.437e-07 ***      
                idRUS          -6.699073   0.462868 -14.4730 < 2.2e-16 ***      
                idSGP           0.372547   0.402648   0.9252 0.3552689          
                idSWE          -0.955203   0.267118  -3.5760 0.0003815 ***      
                idUSA          -1.017002   0.629889  -1.6146 0.1070101          
                time1995      -38.285402   3.716110 -10.3025 < 2.2e-16 ***      
                time1996      -38.117662   3.717331 -10.2540 < 2.2e-16 ***      
                time1997      -38.123709   3.717341 -10.2556 < 2.2e-16 ***      
                time1998      -38.033891   3.717644 -10.2306 < 2.2e-16 ***      
                time1999      -37.975134   3.719111 -10.2108 < 2.2e-16 ***      
                time2000      -37.961369   3.720276 -10.2039 < 2.2e-16 ***      
                time2001      -37.872215   3.722008 -10.1752 < 2.2e-16 ***      
                time2002      -37.886588   3.723579 -10.1748 < 2.2e-16 ***      
                time2003      -37.755586   3.725176 -10.1353 < 2.2e-16 ***      
                time2004      -37.774751   3.725482 -10.1396 < 2.2e-16 ***      
                time2005      -37.685484   3.726357 -10.1132 < 2.2e-16 ***      
                time2006      -37.614800   3.728277 -10.0891 < 2.2e-16 ***      
                time2007      -37.525062   3.731173 -10.0572 < 2.2e-16 ***      
                time2008      -37.407798   3.733265 -10.0201 < 2.2e-16 ***      
                time2009      -37.249631   3.734465  -9.9746 < 2.2e-16 ***      
                time2010      -37.204443   3.736271  -9.9576 < 2.2e-16 ***      
                time2011      -37.171594   3.737837  -9.9447 < 2.2e-16 ***      
                time2012      -37.212776   3.739882  -9.9503 < 2.2e-16 ***      
                time2013      -37.294503   3.738750  -9.9751 < 2.2e-16 ***      
                time2014      -37.342188   3.740432  -9.9834 < 2.2e-16 ***      
                time2015      -37.411689   3.742069  -9.9976 < 2.2e-16 ***      
                time2016      -37.423489   3.743754  -9.9962 < 2.2e-16 ***      
                time2017      -37.440163   3.745215  -9.9968 < 2.2e-16 ***      
                time2018      -37.446423   3.746604  -9.9948 < 2.2e-16 ***      
                time2019      -37.545750   3.747912 -10.0178 < 2.2e-16 ***      
                iis76          -0.668991   0.151242  -4.4233 1.184e-05 ***      
                iis77          -0.681655   0.151071  -4.5122 7.941e-06 ***      
                iis78          -0.509863   0.150420  -3.3896 0.0007531 ***      
                iis87           0.677182   0.143811   4.7088 3.200e-06 ***      
                iis88           0.546570   0.143715   3.8032 0.0001598 ***      
                iis202         -0.428097   0.145388  -2.9445 0.0033793 **       
                iis504          0.459926   0.148359   3.1001 0.0020394 **       
                iis525         -0.630526   0.196825  -3.2035 0.0014410 **       
                iis526         -2.272402   0.145694 -15.5971 < 2.2e-16 ***      
                fesisAUS.2005  -0.311594   0.083116  -3.7489 0.0001975 ***      
                fesisAUS.2009  -0.478345   0.082990  -5.7639 1.410e-08 ***      
                fesisBRA.2004   0.491060   0.069283   7.0877 4.464e-12 ***      
                fesisCHE.2003  -0.474822   0.060626  -7.8321 2.717e-14 ***      
                fesisCHN.2004   0.766295   0.094705   8.0914 4.195e-15 ***      
                fesisCHN.2016   0.556427   0.092198   6.0351 3.021e-09 ***      
                fesisDNK.2007   0.726306   0.057943  12.5349 < 2.2e-16 ***      
                fesisESP.2005   0.551610   0.058495   9.4301 < 2.2e-16 ***      
                fesisIND.2000   0.540276   0.094145   5.7388 1.621e-08 ***      
                fesisIND.2004   0.292510   0.086668   3.3751 0.0007931 ***      
                fesisISR.2013  -0.318982   0.071459  -4.4639 9.877e-06 ***      
                fesisITA.2012   0.319052   0.062477   5.1067 4.609e-07 ***      
                fesisKOR.2004   0.627954   0.076388   8.2206 1.626e-15 ***      
                fesisKOR.2010   0.264574   0.073209   3.6140 0.0003308 ***      
                fesisRUS.2003  -0.250401   0.091876  -2.7254 0.0066383 **       
                fesisRUS.2007  -0.348350   0.082850  -4.2046 3.080e-05 ***      
                fesisSGP.1997   0.493078   0.149255   3.3036 0.0010203 **       
                fesisSGP.2013  -0.253456   0.073401  -3.4531 0.0005995 ***      
                fesisSWE.2001  -0.504688   0.065979  -7.6492 9.865e-14 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   65.064  1 7.772e-16 ***      
                Ljung-Box ARCH(1) 44.528  1 2.508e-11 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.13578      
                R-squared          0.99327      
                Log-lik.(n=598)  384.50294      
0.05

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 10:45:28 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 598       
                Sample: 1 to 598       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error   t-stat   p-value          
                lgdp            1.625315   0.076026  21.3784 < 2.2e-16 ***      
                lpop            0.385616   0.229522   1.6801 0.0935783 .        
                idAUT           3.075023   0.191535  16.0546 < 2.2e-16 ***      
                idBEL           1.875594   0.144809  12.9522 < 2.2e-16 ***      
                idBRA          -4.281755   0.482685  -8.8707 < 2.2e-16 ***      
                idCAN           0.405639   0.115147   3.5228 0.0004669 ***      
                idCHE           2.098018   0.217675   9.6383 < 2.2e-16 ***      
                idCHN          -6.209937   0.878177  -7.0714 5.305e-12 ***      
                idDEU           0.966378   0.302029   3.1996 0.0014651 **       
                idDNK          -0.371666   0.319658  -1.1627 0.2455175          
                idESP          -0.360781   0.194269  -1.8571 0.0638927 .        
                idFIN           3.697083   0.283922  13.0215 < 2.2e-16 ***      
                idFRA           0.443629   0.254393   1.7439 0.0818077 .        
                idGBR           0.451202   0.252943   1.7838 0.0750715 .        
                idIND          -8.582428   0.814675 -10.5348 < 2.2e-16 ***      
                idISR           0.765170   0.238859   3.2034 0.0014462 **       
                idITA          -0.300509   0.241592  -1.2439 0.2141413          
                idJPN          -6.848033   0.442084 -15.4903 < 2.2e-16 ***      
                idKOR          -9.680748   0.443341 -21.8359 < 2.2e-16 ***      
                idNLD           1.728160   0.080943  21.3504 < 2.2e-16 ***      
                idNOR          -1.553801   0.370491  -4.1939 3.254e-05 ***      
                idRUS          -7.752840   0.409234 -18.9448 < 2.2e-16 ***      
                idSGP           1.426167   0.366569   3.8906 0.0001138 ***      
                idSWE          -0.643516   0.231974  -2.7741 0.0057465 **       
                idUSA          -1.734144   0.552577  -3.1383 0.0018016 **       
                time1995      -47.360652   3.366319 -14.0690 < 2.2e-16 ***      
                time1996      -47.243339   3.366299 -14.0342 < 2.2e-16 ***      
                time1997      -47.169589   3.366285 -14.0124 < 2.2e-16 ***      
                time1998      -47.120721   3.366697 -13.9961 < 2.2e-16 ***      
                time1999      -47.082252   3.368828 -13.9759 < 2.2e-16 ***      
                time2000      -47.056969   3.369356 -13.9662 < 2.2e-16 ***      
                time2001      -46.978998   3.371038 -13.9361 < 2.2e-16 ***      
                time2002      -46.978737   3.372386 -13.9304 < 2.2e-16 ***      
                time2003      -46.893123   3.372933 -13.9028 < 2.2e-16 ***      
                time2004      -46.865711   3.373817 -13.8910 < 2.2e-16 ***      
                time2005      -46.779203   3.374956 -13.8607 < 2.2e-16 ***      
                time2006      -46.723576   3.376794 -13.8367 < 2.2e-16 ***      
                time2007      -46.625371   3.379133 -13.7980 < 2.2e-16 ***      
                time2008      -46.509233   3.381051 -13.7559 < 2.2e-16 ***      
                time2009      -46.344470   3.381890 -13.7037 < 2.2e-16 ***      
                time2010      -46.306401   3.383559 -13.6857 < 2.2e-16 ***      
                time2011      -46.280399   3.385037 -13.6721 < 2.2e-16 ***      
                time2012      -46.313236   3.386451 -13.6760 < 2.2e-16 ***      
                time2013      -46.391870   3.385426 -13.7034 < 2.2e-16 ***      
                time2014      -46.431872   3.386415 -13.7112 < 2.2e-16 ***      
                time2015      -46.506828   3.387925 -13.7272 < 2.2e-16 ***      
                time2016      -46.535277   3.389184 -13.7305 < 2.2e-16 ***      
                time2017      -46.544802   3.390733 -13.7271 < 2.2e-16 ***      
                time2018      -46.568779   3.391858 -13.7296 < 2.2e-16 ***      
                time2019      -46.658830   3.392644 -13.7529 < 2.2e-16 ***      
                iis1            0.605434   0.129237   4.6847 3.635e-06 ***      
                iis2            0.271024   0.129041   2.1003 0.0362130 *        
                iis4            0.391021   0.127994   3.0550 0.0023731 **       
                iis5            0.371283   0.128111   2.8981 0.0039218 **       
                iis6            0.307469   0.127781   2.4062 0.0164872 *        
                iis7            0.387468   0.127717   3.0338 0.0025429 **       
                iis8            0.296037   0.127644   2.3192 0.0207918 *        
                iis9            0.263888   0.127447   2.0706 0.0389210 *        
                iis10           0.344694   0.127397   2.7057 0.0070537 **       
                iis76          -0.619167   0.129227  -4.7913 2.198e-06 ***      
                iis77          -0.588719   0.128866  -4.5685 6.222e-06 ***      
                iis78          -0.506222   0.127962  -3.9560 8.743e-05 ***      
                iis87           0.801652   0.121178   6.6155 9.704e-11 ***      
                iis88           0.649045   0.121078   5.3606 1.279e-07 ***      
                iis97           0.335041   0.121189   2.7646 0.0059135 **       
                iis99           0.279651   0.121292   2.3056 0.0215492 *        
                iis100          0.286130   0.121466   2.3556 0.0188829 *        
                iis126          0.416799   0.126614   3.2919 0.0010669 **       
                iis127          0.383234   0.126581   3.0276 0.0025949 **       
                iis154         -0.264903   0.125881  -2.1044 0.0358516 *        
                iis202         -0.396929   0.122989  -3.2273 0.0013329 **       
                iis203         -0.275159   0.122265  -2.2505 0.0248575 *        
                iis233         -0.321420   0.122826  -2.6169 0.0091479 **       
                iis326         -0.437260   0.135430  -3.2287 0.0013268 **       
                iis330         -0.299811   0.134831  -2.2236 0.0266291 *        
                iis373         -0.346426   0.126013  -2.7491 0.0061958 **       
                iis424         -0.387140   0.124547  -3.1084 0.0019902 **       
                iis500          0.429260   0.126558   3.3918 0.0007504 ***      
                iis502          0.516009   0.126688   4.0731 5.409e-05 ***      
                iis503          0.357930   0.126261   2.8348 0.0047739 **       
                iis504          0.711560   0.125292   5.6792 2.319e-08 ***      
                iis505          0.361176   0.124859   2.8927 0.0039895 **       
                iis525         -0.602255   0.165858  -3.6311 0.0003118 ***      
                iis526         -2.192769   0.123081 -17.8156 < 2.2e-16 ***      
                iis528          0.479102   0.122357   3.9156 0.0001029 ***      
                fesisAUS.2009  -0.574169   0.065722  -8.7364 < 2.2e-16 ***      
                fesisAUT.2002  -0.283197   0.052741  -5.3695 1.220e-07 ***      
                fesisBRA.2003   0.365136   0.063350   5.7638 1.455e-08 ***      
                fesisCAN.2007  -0.281083   0.048613  -5.7820 1.314e-08 ***      
                fesisCHE.2003  -0.430099   0.056373  -7.6295 1.234e-13 ***      
                fesisCHN.2002   0.566061   0.080783   7.0071 8.064e-12 ***      
                fesisCHN.2016   0.478669   0.079664   6.0086 3.650e-09 ***      
                fesisDNK.2007   0.672290   0.049996  13.4468 < 2.2e-16 ***      
                fesisESP.2005   0.452461   0.051082   8.8575 < 2.2e-16 ***      
                fesisFIN.1997  -0.426439   0.087293  -4.8851 1.401e-06 ***      
                fesisIND.2000   0.348546   0.090033   3.8713 0.0001229 ***      
                fesisIND.2004   0.249890   0.072324   3.4551 0.0005977 ***      
                fesisIND.2014  -0.325129   0.066117  -4.9175 1.198e-06 ***      
                fesisISR.2013  -0.391863   0.063644  -6.1571 1.542e-09 ***      
                fesisITA.2012   0.314774   0.052628   5.9812 4.271e-09 ***      
                fesisKOR.2004   0.504421   0.064902   7.7720 4.561e-14 ***      
                fesisKOR.2010   0.207719   0.061451   3.3802 0.0007820 ***      
                fesisNOR.2012  -0.302520   0.052126  -5.8036 1.165e-08 ***      
                fesisRUS.2007  -0.440171   0.061151  -7.1981 2.304e-12 ***      
                fesisSGP.1997   0.339657   0.127539   2.6632 0.0079953 **       
                fesisSGP.2013  -0.374686   0.063456  -5.9047 6.601e-09 ***      
                fesisSWE.2001  -0.565412   0.055538 -10.1807 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   36.962  1 1.205e-09 ***      
                Ljung-Box ARCH(1) 26.399  1 2.776e-07 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.11376      
                R-squared          0.99554      
                Log-lik.(n=598)  504.82045      

1

0.01

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 10:47:25 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 574       
                Sample: 1 to 574       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error  t-stat   p-value          
                ar1            0.7285939  0.0230355 31.6292 < 2.2e-16 ***      
                lgdp           0.2980342  0.0683368  4.3613 1.568e-05 ***      
                lpop           0.0761221  0.1822695  0.4176 0.6763912          
                idAUT          0.4562613  0.1647072  2.7701 0.0058093 **       
                idBEL          0.2328069  0.1226953  1.8974 0.0583390 .        
                idBRA         -0.9503815  0.4064800 -2.3381 0.0197719 *        
                idCAN          0.0322640  0.1001337  0.3222 0.7474272          
                idCHE          0.2388312  0.1703781  1.4018 0.1615964          
                idCHN         -1.1465861  0.7331361 -1.5639 0.1184551          
                idDEU          0.3199504  0.2489650  1.2851 0.1993376          
                idDNK         -0.1934750  0.2489908 -0.7770 0.4375002          
                idESP         -0.1220563  0.1605909 -0.7600 0.4475816          
                idFIN          0.4856857  0.2350416  2.0664 0.0393007 *        
                idFRA          0.1330004  0.2092050  0.6357 0.5252322          
                idGBR          0.0986029  0.2069620  0.4764 0.6339736          
                idIND         -1.4799894  0.7025122 -2.1067 0.0356344 *        
                idISR          0.0047409  0.1801541  0.0263 0.9790157          
                idITA         -0.0728478  0.1978941 -0.3681 0.7129415          
                idJPN         -1.0508699  0.4028706 -2.6085 0.0093641 **       
                idKOR         -1.5306885  0.4196493 -3.6475 0.0002922 ***      
                idNLD          0.2711801  0.0729526  3.7172 0.0002239 ***      
                idNOR         -0.4599391  0.2864316 -1.6058 0.1089516          
                idRUS         -1.6549795  0.3865006 -4.2820 2.217e-05 ***      
                idSGP         -0.1270969  0.2698027 -0.4711 0.6377913          
                idSWE         -0.2700093  0.1785881 -1.5119 0.1311808          
                idUSA         -0.1238285  0.4592444 -0.2696 0.7875508          
                time1996      -8.1792516  2.9911098 -2.7345 0.0064662 **       
                time1997      -8.2521751  2.9911413 -2.7589 0.0060102 **       
                time1998      -8.1349306  2.9901896 -2.7205 0.0067419 **       
                time1999      -8.1676294  2.9910367 -2.7307 0.0065405 **       
                time2000      -8.1535243  2.9911243 -2.7259 0.0066348 **       
                time2001      -8.1581991  2.9919010 -2.7268 0.0066179 **       
                time2002      -8.2056679  2.9927326 -2.7419 0.0063255 **       
                time2003      -8.1152214  2.9938803 -2.7106 0.0069442 **       
                time2004      -8.0955347  2.9946316 -2.7033 0.0070954 **       
                time2005      -8.0364259  2.9939224 -2.6842 0.0075077 **       
                time2006      -8.0295281  2.9947178 -2.6812 0.0075747 **       
                time2007      -7.9815537  2.9953605 -2.6646 0.0079532 **       
                time2008      -7.9897668  2.9964254 -2.6664 0.0079114 **       
                time2009      -7.9441375  2.9961126 -2.6515 0.0082653 **       
                time2010      -7.9190816  2.9971845 -2.6422 0.0084927 **       
                time2011      -7.9384368  2.9978495 -2.6480 0.0083486 **       
                time2012      -8.0027262  2.9987005 -2.6687 0.0078583 **       
                time2013      -8.0834246  3.0002047 -2.6943 0.0072883 **       
                time2014      -8.0476654  3.0023640 -2.6804 0.0075923 **       
                time2015      -8.0922588  3.0040320 -2.6938 0.0072989 **       
                time2016      -8.0259724  3.0058865 -2.6701 0.0078271 **       
                time2017      -8.0428436  3.0070388 -2.6747 0.0077223 **       
                time2018      -8.0385808  3.0082357 -2.6722 0.0077788 **       
                time2019      -8.1377704  3.0092327 -2.7043 0.0070761 **       
                iis83          0.7539418  0.1262222  5.9731 4.390e-09 ***      
                iis147        -0.4114758  0.1384218 -2.9726 0.0030934 **       
                iis204         0.3852969  0.1284506  2.9996 0.0028368 **       
                iis481         0.4460212  0.1298119  3.4359 0.0006392 ***      
                iis483         0.5604581  0.1284600  4.3629 1.556e-05 ***      
                iis503        -0.4276107  0.1442466 -2.9644 0.0031753 **       
                iis504        -1.1587948  0.1457594 -7.9501 1.224e-14 ***      
                iis505         1.6364943  0.1515595 10.7977 < 2.2e-16 ***      
                iis506         0.7568039  0.1428339  5.2985 1.746e-07 ***      
                iis515         0.4858389  0.1281445  3.7913 0.0001679 ***      
                fesisAUS.2005 -0.2054091  0.0569122 -3.6092 0.0003377 ***      
                fesisCHN.2001  0.2365641  0.0807436  2.9298 0.0035447 **       
                fesisCHN.2015  0.2272697  0.0743871  3.0552 0.0023675 **       
                fesisDNK.2005  0.1971556  0.0556086  3.5454 0.0004284 ***      
                fesisIND.1998 -0.5252744  0.1239908 -4.2364 2.699e-05 ***      
                fesisIND.2000  0.4862001  0.0955275  5.0896 5.067e-07 ***      
                fesisSGP.2003  0.5717368  0.1129916  5.0600 5.877e-07 ***      
                fesisSGP.2005 -0.3599260  0.0974590 -3.6931 0.0002456 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   12.162  1 0.0004878 ***      
                Ljung-Box ARCH(1) 47.773  1 4.785e-12 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.12086      
                R-squared          0.99442      
                Log-lik.(n=574)  432.47748      
0.05

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 10:47:21 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 574       
                Sample: 1 to 574       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error  t-stat   p-value          
                ar1             0.732819   0.021737 33.7122 < 2.2e-16 ***      
                lgdp            0.387579   0.063811  6.0738 2.512e-09 ***      
                lpop            0.102959   0.187329  0.5496 0.5828330          
                idAUT           0.609103   0.167071  3.6458 0.0002952 ***      
                idBEL           0.366345   0.122953  2.9795 0.0030303 **       
                idBRA          -1.086339   0.418828 -2.5938 0.0097780 **       
                idCAN          -0.284741   0.142995 -1.9913 0.0470071 *        
                idCHE           0.338861   0.174517  1.9417 0.0527460 .        
                idCHN          -1.489437   0.758403 -1.9639 0.0501062 .        
                idDEU           0.205853   0.257963  0.7980 0.4252621          
                idDNK          -0.124155   0.253486 -0.4898 0.6245017          
                idESP          -0.235651   0.159573 -1.4768 0.1403838          
                idFIN           0.693889   0.241462  2.8737 0.0042335 **       
                idFRA           0.058432   0.215837  0.2707 0.7867201          
                idGBR           0.041351   0.212888  0.1942 0.8460684          
                idIND          -1.897304   0.725290 -2.6159 0.0091737 **       
                idISR           0.166729   0.198233  0.8411 0.4007185          
                idITA          -0.124683   0.203341 -0.6132 0.5400470          
                idJPN          -1.647651   0.402696 -4.0916 5.011e-05 ***      
                idKOR          -2.174936   0.397509 -5.4714 7.140e-08 ***      
                idNLD           0.341495   0.068210  5.0065 7.750e-07 ***      
                idNOR          -0.501330   0.288950 -1.7350 0.0833697 .        
                idRUS          -2.060774   0.392677 -5.2480 2.296e-07 ***      
                idSGP           0.090425   0.278465  0.3247 0.7455280          
                idSWE          -0.339135   0.176190 -1.9248 0.0548305 .        
                idUSA          -0.431255   0.478942 -0.9004 0.3683336          
                time1996      -11.108023   3.081988 -3.6042 0.0003452 ***      
                time1997      -11.208583   3.082677 -3.6360 0.0003063 ***      
                time1998      -11.106833   3.081988 -3.6038 0.0003457 ***      
                time1999      -11.110077   3.082945 -3.6037 0.0003458 ***      
                time2000      -11.125168   3.083391 -3.6081 0.0003402 ***      
                time2001      -11.113289   3.083799 -3.6038 0.0003458 ***      
                time2002      -11.176887   3.085206 -3.6227 0.0003220 ***      
                time2003      -11.066078   3.085611 -3.5863 0.0003691 ***      
                time2004      -11.076761   3.086328 -3.5890 0.0003654 ***      
                time2005      -11.013964   3.085313 -3.5698 0.0003925 ***      
                time2006      -10.991737   3.086369 -3.5614 0.0004050 ***      
                time2007      -10.960815   3.087455 -3.5501 0.0004223 ***      
                time2008      -10.972805   3.088805 -3.5524 0.0004187 ***      
                time2009      -10.918270   3.087690 -3.5361 0.0004448 ***      
                time2010      -10.897546   3.088837 -3.5280 0.0004581 ***      
                time2011      -10.920092   3.089621 -3.5344 0.0004475 ***      
                time2012      -10.986237   3.090591 -3.5547 0.0004151 ***      
                time2013      -11.056244   3.092275 -3.5754 0.0003844 ***      
                time2014      -11.034842   3.094187 -3.5663 0.0003977 ***      
                time2015      -11.062966   3.096103 -3.5732 0.0003876 ***      
                time2016      -11.014455   3.097655 -3.5557 0.0004136 ***      
                time2017      -11.034233   3.098838 -3.5608 0.0004059 ***      
                time2018      -11.032469   3.100050 -3.5588 0.0004089 ***      
                time2019      -11.133658   3.101082 -3.5902 0.0003637 ***      
                iis83           0.746435   0.112680  6.6244 9.216e-11 ***      
                iis98           0.298546   0.113424  2.6321 0.0087534 **       
                iis147         -0.390383   0.123618 -3.1580 0.0016869 **       
                iis193         -0.341805   0.118290 -2.8895 0.0040294 **       
                iis196         -0.259527   0.118004 -2.1993 0.0283231 *        
                iis204          0.380320   0.115490  3.2931 0.0010626 **       
                iis317          0.360869   0.117353  3.0751 0.0022221 **       
                iis319          0.325346   0.115424  2.8187 0.0050172 **       
                iis342         -0.445172   0.116229 -3.8301 0.0001448 ***      
                iis343          0.309191   0.116462  2.6549 0.0081929 **       
                iis352         -0.299467   0.115590 -2.5908 0.0098621 **       
                iis457          0.448257   0.113090  3.9637 8.480e-05 ***      
                iis479          0.402254   0.116139  3.4636 0.0005799 ***      
                iis481          0.496329   0.116571  4.2577 2.477e-05 ***      
                iis483          0.594468   0.115247  5.1582 3.629e-07 ***      
                iis498         -0.376733   0.113349 -3.3236 0.0009551 ***      
                iis503         -0.438196   0.129180 -3.3921 0.0007497 ***      
                iis504         -1.148311   0.130519 -8.7980 < 2.2e-16 ***      
                iis505          1.667914   0.136127 12.2526 < 2.2e-16 ***      
                iis506          0.744472   0.127505  5.8388 9.594e-09 ***      
                iis510          0.469682   0.118282  3.9709 8.238e-05 ***      
                iis511          0.337743   0.117805  2.8670 0.0043231 **       
                iis515          0.511017   0.114403  4.4668 9.872e-06 ***      
                fesisAUS.2005  -0.223166   0.052142 -4.2800 2.250e-05 ***      
                fesisCAN.1997   0.276722   0.113709  2.4336 0.0153067 *        
                fesisCHN.2001   0.168984   0.073140  2.3104 0.0212811 *        
                fesisCHN.2015   0.161384   0.067139  2.4037 0.0165999 *        
                fesisDNK.2005   0.320273   0.117804  2.7187 0.0067868 **       
                fesisDNK.2006  -0.472346   0.156041 -3.0271 0.0025996 **       
                fesisDNK.2007   0.291353   0.115314  2.5266 0.0118317 *        
                fesisESP.2003   0.169039   0.051481  3.2835 0.0010987 **       
                fesisIND.1998  -0.525045   0.110824 -4.7377 2.838e-06 ***      
                fesisIND.2000   0.397326   0.087462  4.5428 7.000e-06 ***      
                fesisISR.2009  -0.158229   0.056831 -2.7842 0.0055737 **       
                fesisSGP.2003   0.157720   0.076505  2.0616 0.0397785 *        
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                    Chi-sq df  p-value         
                Ljung-Box AR(1)    0.56615  1 0.451792         
                Ljung-Box ARCH(1) 10.40264  1 0.001258 **      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.10777      
                R-squared          0.99571      
                Log-lik.(n=574)  506.73698      

without IIS

Count

0

0.01

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 10:54:32 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 598       
                Sample: 1 to 598       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                gdp            4.3238e-12  1.3039e-13  33.1606 < 2.2e-16 ***      
                pop           -2.2533e-07  3.6513e-07  -0.6171 0.5374077          
                idAUT          3.2484e+01  6.5082e+01   0.4991 0.6179002          
                idBEL         -6.1504e+01  6.5025e+01  -0.9459 0.3446470          
                idBRA         -1.0793e+02  8.9403e+01  -1.2073 0.2278547          
                idCAN          2.4944e+02  6.5056e+01   3.8342 0.0001409 ***      
                idCHE          1.3328e+01  6.5100e+01   0.2047 0.8378563          
                idCHN          4.7041e+02  4.6701e+02   1.0073 0.3142527          
                idDEU          1.6376e+03  8.5098e+01  19.2436 < 2.2e-16 ***      
                idDNK          3.9055e+01  6.5165e+01   0.5993 0.5492118          
                idESP         -1.3588e+01  6.5444e+01  -0.2076 0.8355968          
                idFIN         -4.9721e+01  6.5171e+01  -0.7629 0.4458372          
                idFRA          7.3063e+02  6.6737e+01  10.9479 < 2.2e-16 ***      
                idGBR          4.9320e+02  6.6577e+01   7.4079 5.008e-13 ***      
                idIND         -2.1463e+01  4.2911e+02  -0.0500 0.9601280          
                idISR         -5.9479e+01  6.6604e+01  -0.8930 0.3722430          
                idITA          1.6359e+02  6.6328e+01   2.4663 0.0139615 *        
                idJPN          9.9059e+02  1.3751e+02   7.2039 1.990e-12 ***      
                idKOR         -3.3349e+03  1.7650e+02 -18.8948 < 2.2e-16 ***      
                idNLD          1.0526e+02  6.4936e+01   1.6210 0.1055997          
                idNOR         -1.2554e+02  6.5189e+01  -1.9258 0.0546519 .        
                idRUS         -3.6205e+02  7.9362e+01  -4.5620 6.284e-06 ***      
                idSGP         -1.2933e+02  6.5192e+01  -1.9839 0.0477762 *        
                idSWE          3.2141e+01  6.5059e+01   0.4940 0.6214847          
                idUSA          1.8425e+03  1.4960e+02  12.3157 < 2.2e-16 ***      
                time1995      -3.2516e+01  6.6093e+01  -0.4920 0.6229403          
                time1996      -9.3808e+00  6.6087e+01  -0.1419 0.8871750          
                time1997       1.4573e+01  6.5371e+01   0.2229 0.8236747          
                time1998       5.9691e+01  6.5414e+01   0.9125 0.3619093          
                time1999       1.0546e+02  6.5422e+01   1.6119 0.1075670          
                time2000       9.5864e+00  6.5361e+01   0.1467 0.8834490          
                time2001       3.6693e+01  6.5393e+01   0.5611 0.5749493          
                time2002       3.9767e+01  6.5424e+01   0.6078 0.5435529          
                time2003       7.2074e+01  6.5465e+01   1.1009 0.2714143          
                time2004       1.2138e+02  6.5508e+01   1.8528 0.0644544 .        
                time2005       1.4599e+02  6.6129e+01   2.2077 0.0276895 *        
                time2006       1.4642e+02  6.5628e+01   2.2310 0.0260924 *        
                time2007       1.9398e+02  6.6385e+01   2.9221 0.0036233 **       
                time2008       2.2624e+02  6.5780e+01   3.4393 0.0006285 ***      
                time2009       3.7127e+02  6.5845e+01   5.6385 2.776e-08 ***      
                time2010       3.3967e+02  6.5917e+01   5.1530 3.607e-07 ***      
                time2011       3.6597e+02  6.5952e+01   5.5490 4.517e-08 ***      
                time2012       3.8824e+02  6.6031e+01   5.8797 7.229e-09 ***      
                time2013       3.5158e+02  6.6118e+01   5.3175 1.546e-07 ***      
                time2014       3.3222e+02  6.6154e+01   5.0219 6.972e-07 ***      
                time2015       2.8916e+02  6.6245e+01   4.3650 1.525e-05 ***      
                time2016       2.4472e+02  6.6301e+01   3.6910 0.0002461 ***      
                time2017       2.6567e+02  6.6402e+01   4.0010 7.194e-05 ***      
                time2018       2.8756e+02  6.6497e+01   4.3243 1.824e-05 ***      
                time2019       1.7345e+02  6.6581e+01   2.6050 0.0094414 **       
                fesisCHN.2011  1.3970e+03  1.2310e+02  11.3485 < 2.2e-16 ***      
                fesisCHN.2016  2.5000e+03  1.5773e+02  15.8501 < 2.2e-16 ***      
                fesisDEU.2007  1.0770e+03  2.4412e+02   4.4115 1.241e-05 ***      
                fesisDEU.2008  6.6839e+02  2.4414e+02   2.7378 0.0063907 **       
                fesisJPN.2000  2.2399e+03  1.2863e+02  17.4128 < 2.2e-16 ***      
                fesisJPN.2010  2.9677e+03  1.3890e+02  21.3655 < 2.2e-16 ***      
                fesisJPN.2014 -8.4535e+02  1.5141e+02  -5.5834 3.750e-08 ***      
                fesisUSA.2000  1.3659e+03  1.4844e+02   9.2022 < 2.2e-16 ***      
                fesisUSA.2005  8.0767e+02  2.5682e+02   3.1450 0.0017530 **       
                fesisUSA.2006  1.5909e+03  2.6214e+02   6.0691 2.431e-09 ***      
                fesisUSA.2010  1.9095e+03  1.3894e+02  13.7438 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   98.153  1 < 2.2e-16 ***      
                Ljung-Box ARCH(1) 65.376  1 6.661e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression   229.49773      
                R-squared            0.98551      
                Log-lik.(n=598)  -4068.68935      
0.05

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 10:54:31 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 598       
                Sample: 1 to 598       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                gdp            4.8220e-12  1.5668e-13  30.7770 < 2.2e-16 ***      
                pop            3.2024e-06  8.5642e-07   3.7393 0.0002048 ***      
                idAUT         -3.1848e+01  6.7323e+01  -0.4731 0.6363720          
                idBEL         -3.9438e+01  7.6221e+01  -0.5174 0.6050811          
                idBRA         -6.4830e+02  1.5544e+02  -4.1707 3.553e-05 ***      
                idCAN          9.9490e+01  6.7155e+01   1.4815 0.1390775          
                idCHE         -4.8959e+01  6.7414e+01  -0.7262 0.4680174          
                idCHN         -3.9411e+03  1.0809e+03  -3.6461 0.0002928 ***      
                idDEU          1.3462e+03  9.4830e+01  14.1960 < 2.2e-16 ***      
                idDNK         -1.6399e+01  6.7758e+01  -0.2420 0.8088539          
                idESP         -2.0065e+02  6.9189e+01  -2.9001 0.0038873 **       
                idFIN         -1.0370e+02  6.7796e+01  -1.5296 0.1267304          
                idFRA          4.7566e+02  7.5663e+01   6.2865 6.834e-10 ***      
                idGBR          2.4499e+02  7.4888e+01   3.2714 0.0011405 **       
                idIND         -3.5029e+03  8.7231e+02  -4.0156 6.794e-05 ***      
                idISR         -1.2280e+02  6.8746e+01  -1.7862 0.0746376 .        
                idITA         -7.3674e+01  7.3664e+01  -1.0001 0.3177059          
                idJPN          1.1873e+02  1.6317e+02   0.7277 0.4671521          
                idKOR         -3.5506e+03  1.5792e+02 -22.4834 < 2.2e-16 ***      
                idNLD          1.3028e+01  6.6530e+01   0.1958 0.8448197          
                idNOR         -6.4845e+01  7.5474e+01  -0.8592 0.3906391          
                idRUS         -7.3056e+02  1.3394e+02  -5.4544 7.580e-08 ***      
                idSGP         -7.7932e+01  7.5533e+01  -1.0318 0.3026613          
                idSWE         -3.7214e+01  6.7177e+01  -0.5540 0.5798367          
                idUSA          9.1053e+02  2.4372e+02   3.7360 0.0002075 ***      
                time1995      -1.4479e+01  6.6827e+01  -0.2167 0.8285535          
                time1996       1.2287e+00  6.7062e+01   0.0183 0.9853892          
                time1997       1.9783e+01  6.6871e+01   0.2958 0.7674743          
                time1998       6.0306e+01  6.7148e+01   0.8981 0.3695400          
                time1999       2.7582e+01  6.7449e+01   0.4089 0.6827608          
                time2000       5.3747e+01  6.7730e+01   0.7935 0.4278175          
                time2001       7.4626e+01  6.8053e+01   1.0966 0.2733299          
                time2002       7.1004e+01  6.8387e+01   1.0383 0.2996248          
                time2003       1.2165e+02  6.7458e+01   1.8033 0.0719100 .        
                time2004       1.2064e+02  6.7763e+01   1.7804 0.0755941 .        
                time2005       1.3858e+02  6.8420e+01   2.0254 0.0433334 *        
                time2006       1.3426e+02  6.8333e+01   1.9648 0.0499639 *        
                time2007       1.9060e+02  6.9387e+01   2.7469 0.0062229 **       
                time2008       2.2841e+02  6.9494e+01   3.2867 0.0010815 **       
                time2009       4.1419e+02  7.1890e+01   5.7614 1.423e-08 ***      
                time2010       4.1008e+02  7.1259e+01   5.7548 1.476e-08 ***      
                time2011       4.4569e+02  7.1047e+01   6.2732 7.402e-10 ***      
                time2012       4.6210e+02  7.1361e+01   6.4755 2.174e-10 ***      
                time2013       4.1927e+02  7.1700e+01   5.8476 8.775e-09 ***      
                time2014       3.9458e+02  7.2027e+01   5.4783 6.673e-08 ***      
                time2015       3.4575e+02  7.2381e+01   4.7769 2.313e-06 ***      
                time2016       3.1566e+02  7.1632e+01   4.4067 1.273e-05 ***      
                time2017       3.3063e+02  7.1966e+01   4.5943 5.443e-06 ***      
                time2018       3.9209e+02  7.2404e+01   5.4153 9.330e-08 ***      
                time2019       2.7345e+02  7.2685e+01   3.7621 0.0001874 ***      
                fesisAUS.2009 -2.4810e+02  8.2248e+01  -3.0165 0.0026809 **       
                fesisBEL.2008 -1.9725e+02  8.1740e+01  -2.4131 0.0161570 *        
                fesisBRA.2009 -3.3399e+02  8.4057e+01  -3.9734 8.078e-05 ***      
                fesisCHN.2011  1.0391e+03  1.2438e+02   8.3536 5.938e-16 ***      
                fesisCHN.2016  2.3496e+03  1.3833e+02  16.9859 < 2.2e-16 ***      
                fesisDEU.2007  1.0883e+03  2.0947e+02   5.1957 2.923e-07 ***      
                fesisDEU.2008  6.0040e+02  2.0963e+02   2.8640 0.0043503 **       
                fesisIND.2003 -5.8237e+02  1.5572e+02  -3.7399 0.0002043 ***      
                fesisIND.2010 -4.9814e+02  1.4694e+02  -3.3902 0.0007510 ***      
                fesisIND.2016 -3.3395e+02  1.4608e+02  -2.2861 0.0226478 *        
                fesisJPN.1999  1.7103e+03  1.3515e+02  12.6545 < 2.2e-16 ***      
                fesisJPN.2004  1.0529e+03  1.2198e+02   8.6312 < 2.2e-16 ***      
                fesisJPN.2010  2.5480e+03  1.3037e+02  19.5438 < 2.2e-16 ***      
                fesisJPN.2014 -8.6027e+02  1.2995e+02  -6.6200 8.891e-11 ***      
                fesisKOR.2000 -7.6910e+02  1.4059e+02  -5.4704 6.959e-08 ***      
                fesisNOR.2009 -2.5949e+02  8.2307e+01  -3.1527 0.0017099 **       
                fesisRUS.2007 -3.8019e+02  8.1754e+01  -4.6504 4.198e-06 ***      
                fesisSGP.2009 -2.3474e+02  8.2289e+01  -2.8527 0.0045062 **       
                fesisUSA.2000  1.2727e+03  1.2762e+02   9.9726 < 2.2e-16 ***      
                fesisUSA.2005  8.1950e+02  2.2037e+02   3.7187 0.0002218 ***      
                fesisUSA.2006  1.5515e+03  2.2485e+02   6.9001 1.502e-11 ***      
                fesisUSA.2010  1.9995e+03  1.2446e+02  16.0657 < 2.2e-16 ***      
                fesisUSA.2018 -1.0792e+03  1.5925e+02  -6.7766 3.313e-11 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   42.380  1 7.516e-11 ***      
                Ljung-Box ARCH(1) 54.842  1 1.307e-13 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression   196.80147      
                R-squared            0.98958      
                Log-lik.(n=598)  -3970.77812      

1

0.01

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 10:54:27 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 574       
                Sample: 1 to 574       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            9.1945e-01  1.1497e-02  79.9703 < 2.2e-16 ***      
                gdp           -3.9875e-13  1.7818e-13  -2.2379 0.0256561 *        
                pop            2.1784e-07  1.6082e-07   1.3546 0.1761446          
                idAUT          1.0067e+01  2.6176e+01   0.3846 0.7007061          
                idBEL         -3.0455e+00  2.6158e+01  -0.1164 0.9073610          
                idBRA         -4.8970e+01  3.7650e+01  -1.3007 0.1939659          
                idCAN          3.0009e+01  2.6319e+01   1.1402 0.2547357          
                idCHE          4.4204e+00  2.6184e+01   0.1688 0.8660043          
                idCHN         -2.1202e+02  2.0392e+02  -1.0397 0.2989557          
                idDEU          2.8920e+02  4.0033e+01   7.2242 1.852e-12 ***      
                idDNK          1.5726e+01  2.6223e+01   0.5997 0.5489670          
                idESP         -5.2867e+00  2.6355e+01  -0.2006 0.8410972          
                idFIN         -1.3679e+00  2.6224e+01  -0.0522 0.9584197          
                idFRA          8.7314e+01  2.8226e+01   3.0934 0.0020875 **       
                idGBR          5.2646e+01  2.7487e+01   1.9153 0.0560160 .        
                idIND         -2.0990e+02  1.8706e+02  -1.1221 0.2623453          
                idISR         -3.7264e+00  2.6828e+01  -0.1389 0.8895867          
                idITA          1.4360e+01  2.6842e+01   0.5350 0.5928837          
                idJPN          8.1663e+02  9.5246e+01   8.5739 < 2.2e-16 ***      
                idKOR          4.1906e+02  1.5519e+02   2.7003 0.0071574 **       
                idNLD          1.5658e+01  2.6131e+01   0.5992 0.5493022          
                idNOR         -6.6349e+00  2.6278e+01  -0.2525 0.8007665          
                idRUS         -9.4253e+00  3.3138e+01  -0.2844 0.7761966          
                idSGP         -9.4134e+00  2.6272e+01  -0.3583 0.7202619          
                idSWE          1.1238e+01  2.6178e+01   0.4293 0.6678866          
                idUSA          3.8064e+02  6.2783e+01   6.0628 2.609e-09 ***      
                time1996      -2.1074e+01  2.6322e+01  -0.8006 0.4237120          
                time1997      -2.3489e+01  2.6289e+01  -0.8935 0.3720134          
                time1998      -1.3162e+01  2.6025e+01  -0.5058 0.6132455          
                time1999       1.6198e+01  2.5996e+01   0.6231 0.5335016          
                time2000       3.1962e+01  2.5983e+01   1.2301 0.2192197          
                time2001       2.9499e+00  2.6004e+01   0.1134 0.9097287          
                time2002      -1.2184e+01  2.6035e+01  -0.4680 0.6399969          
                time2003      -1.0811e+00  2.6138e+01  -0.0414 0.9670231          
                time2004       2.5130e+01  2.6151e+01   0.9610 0.3370235          
                time2005       1.6837e+01  2.6121e+01   0.6446 0.5194891          
                time2006       3.4521e+01  2.6167e+01   1.3193 0.1876766          
                time2007       7.0240e+01  2.6255e+01   2.6753 0.0077073 **       
                time2008       4.8501e+01  2.6499e+01   1.8303 0.0677911 .        
                time2009       3.4062e+01  2.6495e+01   1.2856 0.1991679          
                time2010       9.9897e+01  2.6678e+01   3.7446 0.0002013 ***      
                time2011       3.4157e+01  2.6971e+01   1.2664 0.2059329          
                time2012       1.5330e+01  2.6901e+01   0.5699 0.5690109          
                time2013      -3.7374e+01  2.6959e+01  -1.3863 0.1662631          
                time2014       7.4362e+00  2.6962e+01   0.2758 0.7828140          
                time2015      -1.7978e+01  2.6816e+01  -0.6704 0.5029004          
                time2016       3.7311e+01  2.6704e+01   1.3972 0.1629633          
                time2017       2.8935e+01  2.6812e+01   1.0791 0.2810348          
                time2018       3.2386e+01  2.6902e+01   1.2039 0.2292025          
                time2019      -4.0984e+01  2.7169e+01  -1.5085 0.1320533          
                fesisCHN.2008  2.8218e+02  4.5106e+01   6.2559 8.390e-10 ***      
                fesisCHN.2016  6.7862e+02  6.2973e+01  10.7764 < 2.2e-16 ***      
                fesisJPN.2008 -5.4298e+02  9.8125e+01  -5.5335 5.029e-08 ***      
                fesisJPN.2009  1.5502e+03  1.0690e+02  14.5019 < 2.2e-16 ***      
                fesisJPN.2012 -1.2872e+03  7.3218e+01 -17.5806 < 2.2e-16 ***      
                fesisJPN.2016  4.3017e+02  7.0995e+01   6.0592 2.663e-09 ***      
                fesisJPN.2019 -1.5080e+03  1.0666e+02 -14.1380 < 2.2e-16 ***      
                fesisKOR.2003  3.5156e+02  7.8160e+01   4.4980 8.504e-06 ***      
                fesisKOR.2009  6.9303e+02  8.2736e+01   8.3764 5.339e-16 ***      
                fesisKOR.2011 -3.8096e+02  8.7777e+01  -4.3401 1.719e-05 ***      
                fesisUSA.2005  5.2061e+02  5.6749e+01   9.1738 < 2.2e-16 ***      
                fesisUSA.2012  3.9934e+02  7.8991e+01   5.0556 5.997e-07 ***      
                fesisUSA.2014 -1.5584e+03  1.1371e+02 -13.7054 < 2.2e-16 ***      
                fesisUSA.2015  8.2624e+02  1.1357e+02   7.2751 1.317e-12 ***      
                fesisUSA.2017 -5.1688e+02  8.4476e+01  -6.1186 1.885e-09 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                    Chi-sq df p-value          
                Ljung-Box AR(1)     3.6475  1 0.05615 .        
                Ljung-Box ARCH(1) 114.4684  1 < 2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    90.39420      
                R-squared            0.99785      
                Log-lik.(n=574)  -3367.37010      
0.05

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 10:54:25 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 574       
                Sample: 1 to 574       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            9.2269e-01  1.1203e-02  82.3628 < 2.2e-16 ***      
                gdp            1.9678e-14  1.5874e-13   0.1240 0.9013935          
                pop            1.1907e-07  1.1046e-07   1.0780 0.2815561          
                idAUT          9.1973e+00  1.7410e+01   0.5283 0.5975405          
                idBEL         -3.4077e+00  1.7400e+01  -0.1958 0.8448117          
                idBRA         -3.2598e+01  2.5510e+01  -1.2779 0.2018967          
                idCAN          3.0303e+01  1.7607e+01   1.7211 0.0858543 .        
                idCHE          3.4268e+00  1.7414e+01   0.1968 0.8440740          
                idCHN         -9.8279e+01  1.3944e+02  -0.7048 0.4812684          
                idDEU          2.2328e+02  2.9299e+01   7.6209 1.286e-13 ***      
                idDNK          1.3869e+01  1.7448e+01   0.7949 0.4270539          
                idESP         -2.7505e+00  1.7540e+01  -0.1568 0.8754555          
                idFIN         -2.2323e+00  1.7443e+01  -0.1280 0.8982155          
                idFRA          8.9005e+01  1.9590e+01   4.5433 6.960e-06 ***      
                idGBR          5.5026e+01  1.8666e+01   2.9478 0.0033505 **       
                idIND         -1.2593e+02  1.2693e+02  -0.9921 0.3216291          
                idISR         -3.4827e+00  1.7844e+01  -0.1952 0.8453408          
                idITA          1.7481e+01  1.7904e+01   0.9764 0.3293400          
                idJPN          4.3855e+02  8.2369e+01   5.3242 1.538e-07 ***      
                idKOR          6.1452e+01  1.3632e+02   0.4508 0.6523306          
                idNLD          1.5215e+01  1.7397e+01   0.8746 0.3822375          
                idNOR         -8.4258e+00  1.7505e+01  -0.4813 0.6304839          
                idRUS         -2.5536e+01  2.2549e+01  -1.1325 0.2579828          
                idSGP         -1.0125e+01  1.7497e+01  -0.5786 0.5630912          
                idSWE          9.0255e+00  1.7419e+01   0.5181 0.6045969          
                idUSA          3.8974e+02  4.5522e+01   8.5615 < 2.2e-16 ***      
                time1996      -5.9353e+00  1.7560e+01  -0.3380 0.7355020          
                time1997      -9.2908e+00  1.7535e+01  -0.5299 0.5964493          
                time1998       1.2767e+00  1.7379e+01   0.0735 0.9414651          
                time1999       8.1956e+00  1.7381e+01   0.4715 0.6374656          
                time2000       2.2218e+01  1.7382e+01   1.2783 0.2017536          
                time2001       6.9989e+00  1.7324e+01   0.4040 0.6863853          
                time2002      -9.4996e+00  1.7351e+01  -0.5475 0.5842811          
                time2003       6.5389e+00  1.7465e+01   0.3744 0.7082618          
                time2004       3.1408e+01  1.7468e+01   1.7980 0.0727836 .        
                time2005       2.1610e+01  1.7410e+01   1.2412 0.2151124          
                time2006       2.4949e+01  1.7432e+01   1.4312 0.1530009          
                time2007       5.8883e+01  1.7503e+01   3.3642 0.0008271 ***      
                time2008       3.5587e+01  1.7686e+01   2.0122 0.0447361 *        
                time2009       4.7180e+01  1.7885e+01   2.6380 0.0086019 **       
                time2010       5.8103e+01  1.8088e+01   3.2123 0.0014021 **       
                time2011       2.6655e+01  1.8251e+01   1.4605 0.1447851          
                time2012       2.6796e+01  1.8124e+01   1.4785 0.1399052          
                time2013      -2.7109e+01  1.8193e+01  -1.4901 0.1368298          
                time2014      -2.7449e-02  1.8114e+01  -0.0015 0.9987915          
                time2015      -2.3779e+00  1.8128e+01  -0.1312 0.8956938          
                time2016       1.5546e+01  1.8069e+01   0.8604 0.3899843          
                time2017       2.9013e+01  1.8084e+01   1.6044 0.1092705          
                time2018       3.1206e+01  1.8153e+01   1.7191 0.0862190 .        
                time2019      -8.1719e+00  1.8469e+01  -0.4425 0.6583421          
                fesisCHN.2008  2.7672e+02  3.1319e+01   8.8358 < 2.2e-16 ***      
                fesisCHN.2016  7.2658e+02  4.7203e+01  15.3927 < 2.2e-16 ***      
                fesisCHN.2019 -2.6953e+02  7.2982e+01  -3.6931 0.0002461 ***      
                fesisDEU.2006  3.0736e+02  3.5254e+01   8.7185 < 2.2e-16 ***      
                fesisDEU.2012 -5.7319e+02  5.1119e+01 -11.2130 < 2.2e-16 ***      
                fesisDEU.2014  3.8807e+02  5.1791e+01   7.4930 3.104e-13 ***      
                fesisDEU.2019 -5.2556e+02  6.7677e+01  -7.7657 4.676e-14 ***      
                fesisJPN.1999  5.0086e+02  5.6830e+01   8.8133 < 2.2e-16 ***      
                fesisJPN.2001 -3.5490e+02  5.2276e+01  -6.7890 3.228e-11 ***      
                fesisJPN.2008 -5.2313e+02  6.6455e+01  -7.8719 2.205e-14 ***      
                fesisJPN.2009  1.0024e+03  8.7009e+01  11.5201 < 2.2e-16 ***      
                fesisJPN.2010  1.2568e+03  8.7066e+01  14.4352 < 2.2e-16 ***      
                fesisJPN.2011 -8.5935e+02  8.9252e+01  -9.6283 < 2.2e-16 ***      
                fesisJPN.2012 -1.1688e+03  6.8803e+01 -16.9875 < 2.2e-16 ***      
                fesisJPN.2016  4.3857e+02  4.7682e+01   9.1977 < 2.2e-16 ***      
                fesisJPN.2019 -1.5507e+03  7.1127e+01 -21.8016 < 2.2e-16 ***      
                fesisKOR.2003  2.1426e+02  6.2737e+01   3.4153 0.0006893 ***      
                fesisKOR.2009  6.2132e+02  5.8649e+01  10.5939 < 2.2e-16 ***      
                fesisKOR.2011 -3.8437e+02  5.9977e+01  -6.4087 3.413e-10 ***      
                fesisKOR.2015 -5.7341e+02  7.1120e+01  -8.0627 5.615e-15 ***      
                fesisKOR.2016  8.1748e+02  8.7356e+01   9.3580 < 2.2e-16 ***      
                fesisKOR.2017 -5.4759e+02  7.2672e+01  -7.5350 2.326e-13 ***      
                fesisUSA.2005  5.2623e+02  4.4842e+01  11.7351 < 2.2e-16 ***      
                fesisUSA.2012  3.7151e+02  5.6241e+01   6.6057 1.020e-10 ***      
                fesisUSA.2014 -1.5431e+03  7.6067e+01 -20.2861 < 2.2e-16 ***      
                fesisUSA.2015  8.2504e+02  7.5909e+01  10.8688 < 2.2e-16 ***      
                fesisUSA.2017 -5.2927e+02  5.6340e+01  -9.3941 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    2.8036  1   0.09405 .        
                Ljung-Box ARCH(1) 51.1971  1 8.354e-13 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    60.10629      
                R-squared            0.99907      
                Log-lik.(n=574)  -3127.14044      

Count Ma

0

0.01

                Formula: count_ma~ gdp_ma + pop_ma      
                 (1995:2019); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 10:55:35 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 598       
                Sample: 1 to 598       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                gdp_ma        -9.7132e-02  2.7953e-01  -0.3475 0.7283683          
                pop_ma         5.5937e+00  1.0858e+00   5.1515 3.624e-07 ***      
                idAUT          6.9377e+00  2.6228e+00   2.6452 0.0084020 **       
                idBEL          8.3626e+00  2.5971e+00   3.2200 0.0013587 **       
                idBRA          1.6368e+01  2.4132e+00   6.7827 3.095e-11 ***      
                idCAN          4.8188e+00  2.4222e+00   1.9895 0.0471516 *        
                idCHE          2.3127e+00  2.4895e+00   0.9290 0.3533177          
                idCHN          2.6984e+01  3.0144e+00   8.9515 < 2.2e-16 ***      
                idDEU          8.9339e+00  2.8231e+00   3.1645 0.0016406 **       
                idDNK          1.4190e+01  2.6323e+00   5.3907 1.049e-07 ***      
                idESP          9.8245e+00  2.5184e+00   3.9010 0.0001078 ***      
                idFIN          6.9083e+00  2.6650e+00   2.5922 0.0097937 **       
                idFRA          7.7573e+00  2.6082e+00   2.9742 0.0030681 **       
                idGBR          6.4283e+00  2.5676e+00   2.5036 0.0125876 *        
                idIND          1.6926e+01  2.5475e+00   6.6439 7.450e-11 ***      
                idISR          2.6706e+00  2.5297e+00   1.0557 0.2915744          
                idITA          8.7712e+00  2.8008e+00   3.1317 0.0018320 **       
                idJPN          8.4485e+00  2.8722e+00   2.9415 0.0034062 **       
                idKOR          1.7579e+01  2.5718e+00   6.8352 2.211e-11 ***      
                idNLD          8.1252e+00  2.6027e+00   3.1219 0.0018929 **       
                idNOR          9.3085e+00  2.4749e+00   3.7611 0.0001875 ***      
                idRUS          1.3399e+01  2.9016e+00   4.6176 4.853e-06 ***      
                idSGP         -2.8735e+01  6.7887e+00  -4.2328 2.711e-05 ***      
                idSWE          5.3291e+00  2.5316e+00   2.1050 0.0357501 *        
                idUSA          5.1151e+00  2.4517e+00   2.0864 0.0374126 *        
                time1995       7.4076e-01  3.0555e+00   0.2424 0.8085339          
                time1996      -5.5976e-01  3.0414e+00  -0.1840 0.8540443          
                time1997       5.8496e+00  3.0013e+00   1.9490 0.0518079 .        
                time1998       1.2000e+00  3.0209e+00   0.3972 0.6913467          
                time1999       4.6081e+00  3.0513e+00   1.5102 0.1315721          
                time2000       6.4572e-01  3.0682e+00   0.2105 0.8333898          
                time2001      -1.8210e+00  3.0172e+00  -0.6035 0.5464001          
                time2002      -3.9072e+00  2.9333e+00  -1.3320 0.1834103          
                time2003      -1.6520e+00  2.9706e+00  -0.5561 0.5783667          
                time2004       3.2901e+00  3.0153e+00   1.0911 0.2756976          
                time2005       5.2650e+00  3.0769e+00   1.7111 0.0876284 .        
                time2006       6.0193e+00  3.1240e+00   1.9268 0.0545302 .        
                time2007       4.2207e+00  3.1143e+00   1.3553 0.1758982          
                time2008       1.3665e+00  2.9844e+00   0.4579 0.6472177          
                time2009      -4.8673e-01  2.9498e+00  -0.1650 0.8690033          
                time2010      -2.0002e+00  2.9028e+00  -0.6890 0.4910904          
                time2011      -5.9221e+00  2.9622e+00  -1.9993 0.0460790 *        
                time2012      -1.2670e+01  2.9042e+00  -4.3626 1.539e-05 ***      
                time2013      -1.5897e+01  2.9033e+00  -5.4757 6.676e-08 ***      
                time2014      -1.6811e+01  2.9072e+00  -5.7826 1.243e-08 ***      
                time2015      -1.2702e+01  2.9167e+00  -4.3548 1.593e-05 ***      
                time2016      -1.1048e+01  2.9108e+00  -3.7957 0.0001639 ***      
                time2017      -8.5515e+00  2.8999e+00  -2.9489 0.0033268 **       
                time2018      -1.2200e+01  2.8609e+00  -4.2645 2.364e-05 ***      
                time2019      -9.8699e+00  2.7270e+00  -3.6193 0.0003231 ***      
                fesisSGP.1997  9.7902e+02  1.0570e+01  92.6229 < 2.2e-16 ***      
                fesisSGP.1998  6.8907e+01  1.0630e+01   6.4824 2.033e-10 ***      
                fesisSGP.2000 -1.0072e+03  1.0539e+01 -95.5650 < 2.2e-16 ***      
                fesisSGP.2001 -3.7180e+01  1.2149e+01  -3.0603 0.0023207 **       
                fesisSGP.2002  6.1499e+01  1.0024e+01   6.1354 1.641e-09 ***      
                fesisSGP.2005 -3.2325e+01  5.6677e+00  -5.7033 1.934e-08 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)   104.655  1 < 2.2e-16 ***      
                Ljung-Box ARCH(1)  69.312  1 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression     8.40998      
                R-squared            0.98769      
                Log-lik.(n=598)  -2093.91812      
0.05

                Formula: count_ma~ gdp_ma + pop_ma      
                 (1995:2019); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 10:55:36 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 598       
                Sample: 1 to 598       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                gdp_ma        -4.2660e-02  2.7954e-01  -0.1526 0.8787642          
                pop_ma         5.9238e+00  1.0917e+00   5.4264 8.691e-08 ***      
                idAUT          7.3316e+00  2.6189e+00   2.7995 0.0053004 **       
                idBEL          8.7348e+00  2.5926e+00   3.3691 0.0008079 ***      
                idBRA          1.6517e+01  2.4051e+00   6.8674 1.801e-11 ***      
                idCAN          4.9854e+00  2.4143e+00   2.0650 0.0394031 *        
                idCHE          2.5810e+00  2.4831e+00   1.0394 0.2990666          
                idCHN          2.6911e+01  3.0033e+00   8.9605 < 2.2e-16 ***      
                idDEU          9.4725e+00  2.8228e+00   3.3557 0.0008471 ***      
                idDNK          1.4593e+01  2.6286e+00   5.5518 4.436e-08 ***      
                idESP          1.0121e+01  2.5125e+00   4.0284 6.419e-05 ***      
                idFIN          7.3178e+00  2.6613e+00   2.7497 0.0061643 **       
                idFRA          8.1441e+00  2.6041e+00   3.1274 0.0018583 **       
                idGBR          6.7733e+00  2.5626e+00   2.6431 0.0084536 **       
                idIND          1.6710e+01  2.5398e+00   6.5792 1.118e-10 ***      
                idISR          2.4284e+00  2.5225e+00   0.9627 0.3361286          
                idITA          9.3108e+00  2.8006e+00   3.3246 0.0009456 ***      
                idJPN          9.0293e+00  2.8731e+00   3.1427 0.0017655 **       
                idKOR          1.7780e+01  2.5637e+00   6.9352 1.161e-11 ***      
                idNLD          8.4969e+00  2.5982e+00   3.2703 0.0011427 **       
                idNOR          9.5562e+00  2.4681e+00   3.8719 0.0001212 ***      
                idRUS          1.3932e+01  2.9005e+00   4.8034 2.022e-06 ***      
                idSGP         -2.9657e+01  6.7757e+00  -4.3769 1.445e-05 ***      
                idSWE          5.6238e+00  2.5255e+00   2.2268 0.0263743 *        
                idUSA          5.3261e+00  2.4443e+00   2.1790 0.0297644 *        
                time1995       5.7010e-02  3.0592e+00   0.0186 0.9851387          
                time1996      -1.2346e+00  3.0448e+00  -0.4055 0.6852820          
                time1997       5.1921e+00  3.0043e+00   1.7282 0.0845190 .        
                time1998       5.2562e-01  3.0245e+00   0.1738 0.8620968          
                time1999       3.9191e+00  3.0553e+00   1.2827 0.2001314          
                time2000      -4.8929e-02  3.0722e+00  -0.0159 0.9872992          
                time2001      -2.4883e+00  3.0205e+00  -0.8238 0.4104149          
                time2002      -4.5269e+00  2.9353e+00  -1.5422 0.1236023          
                time2003      -2.2994e+00  2.9734e+00  -0.7733 0.4396763          
                time2004       2.6156e+00  3.0189e+00   0.8664 0.3866484          
                time2005       5.0900e+00  3.0664e+00   1.6599 0.0975106 .        
                time2006       5.8165e+00  3.1137e+00   1.8681 0.0622946 .        
                time2007       3.4027e+00  3.1238e+00   1.0893 0.2765251          
                time2008       6.5678e-01  2.9899e+00   0.2197 0.8262131          
                time2009      -1.1756e+00  2.9547e+00  -0.3979 0.6908755          
                time2010      -2.6740e+00  2.9074e+00  -0.9197 0.3581357          
                time2011      -6.6498e+00  2.9687e+00  -2.2399 0.0255002 *        
                time2012      -1.3354e+01  2.9093e+00  -4.5901 5.513e-06 ***      
                time2013      -1.6577e+01  2.9081e+00  -5.7002 1.969e-08 ***      
                time2014      -1.7497e+01  2.9123e+00  -6.0079 3.453e-09 ***      
                time2015      -1.3396e+01  2.9221e+00  -4.5843 5.664e-06 ***      
                time2016      -1.1741e+01  2.9162e+00  -4.0263 6.475e-05 ***      
                time2017      -9.2395e+00  2.9052e+00  -3.1803 0.0015553 **       
                time2018      -1.2863e+01  2.8653e+00  -4.4891 8.746e-06 ***      
                time2019      -1.0385e+01  2.7265e+00  -3.8091 0.0001555 ***      
                fesisSGP.1997  9.7914e+02  1.0531e+01  92.9803 < 2.2e-16 ***      
                fesisSGP.1998  6.9417e+01  1.0593e+01   6.5533 1.314e-10 ***      
                fesisSGP.2000 -1.0070e+03  1.0500e+01 -95.9062 < 2.2e-16 ***      
                fesisSGP.2001 -3.7188e+01  1.2104e+01  -3.0724 0.0022306 **       
                fesisSGP.2002  6.1814e+01  9.9872e+00   6.1893 1.195e-09 ***      
                fesisSGP.2005 -4.5692e+01  8.1929e+00  -5.5770 3.868e-08 ***      
                fesisSGP.2007  1.4832e+01  6.5869e+00   2.2518 0.0247338 *        
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)   105.225  1 < 2.2e-16 ***      
                Ljung-Box ARCH(1)  70.922  1 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression     8.37858      
                R-squared            0.98780      
                Log-lik.(n=598)  -2091.18087      

1

0.01

                Formula: count_ma~ gdp_ma + pop_ma      
                 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 10:55:32 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 574       
                Sample: 1 to 574       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error    t-stat   p-value          
                ar1            4.2909e-01  3.6402e-02   11.7873 < 2.2e-16 ***      
                gdp_ma        -1.4115e-01  2.7014e-01   -0.5225 0.6015431          
                pop_ma         4.0372e+00  9.9573e-01    4.0545 5.797e-05 ***      
                idAUT          4.2697e+00  2.3879e+00    1.7881 0.0743503 .        
                idBEL          5.0079e+00  2.3699e+00    2.1131 0.0350667 *        
                idBRA          8.4033e+00  2.2692e+00    3.7032 0.0002358 ***      
                idCAN          2.5324e+00  2.1984e+00    1.1519 0.2498921          
                idCHE          1.3991e+00  2.2528e+00    0.6210 0.5348574          
                idCHN          1.5913e+01  2.9028e+00    5.4819 6.588e-08 ***      
                idDEU          5.7466e+00  2.5889e+00    2.2197 0.0268751 *        
                idDNK          8.5346e+00  2.4444e+00    3.4915 0.0005213 ***      
                idESP          5.4322e+00  2.3064e+00    2.3553 0.0188822 *        
                idFIN          4.6281e+00  2.4295e+00    1.9050 0.0573345 .        
                idFRA          4.6659e+00  2.3801e+00    1.9603 0.0504922 .        
                idGBR          3.9259e+00  2.3342e+00    1.6819 0.0931879 .        
                idIND          8.4191e+00  2.3935e+00    3.5175 0.0004741 ***      
                idISR          8.3079e-01  2.2839e+00    0.3638 0.7161897          
                idITA          5.4855e+00  2.5716e+00    2.1331 0.0333846 *        
                idJPN          5.0828e+00  2.6413e+00    1.9244 0.0548568 .        
                idKOR          9.7416e+00  2.4034e+00    4.0532 5.829e-05 ***      
                idNLD          4.4450e+00  2.3776e+00    1.8695 0.0621201 .        
                idNOR          4.8083e+00  2.2638e+00    2.1240 0.0341426 *        
                idRUS          7.9775e+00  2.6630e+00    2.9957 0.0028698 **       
                idSGP         -2.8402e+01  8.1236e+00   -3.4962 0.0005125 ***      
                idSWE          3.1007e+00  2.2968e+00    1.3500 0.1776137          
                idUSA          2.8601e+00  2.2301e+00    1.2825 0.2002430          
                time1996      -7.8538e-01  2.7839e+00   -0.2821 0.7779701          
                time1997       6.1883e+00  2.7407e+00    2.2579 0.0243700 *        
                time1998      -1.1264e+00  2.7633e+00   -0.4076 0.6837044          
                time1999       3.1961e+00  2.7922e+00    1.1447 0.2528826          
                time2000      -1.3108e+00  2.8078e+00   -0.4669 0.6407940          
                time2001      -2.3355e+00  2.7492e+00   -0.8495 0.3959779          
                time2002      -2.8578e+00  2.6633e+00   -1.0730 0.2837542          
                time2003      -7.5924e-01  2.7047e+00   -0.2807 0.7790439          
                time2004       3.3394e+00  2.7498e+00    1.2144 0.2251326          
                time2005       3.8938e+00  2.8034e+00    1.3889 0.1654463          
                time2006       4.3552e+00  2.8487e+00    1.5289 0.1269113          
                time2007       1.3860e+00  2.8549e+00    0.4855 0.6275416          
                time2008      -9.8579e-01  2.7104e+00   -0.3637 0.7162235          
                time2009      -1.8609e+00  2.6732e+00   -0.6961 0.4866629          
                time2010      -2.6098e+00  2.6308e+00   -0.9920 0.3216564          
                time2011      -5.6207e+00  2.6982e+00   -2.0831 0.0377342 *        
                time2012      -1.0577e+01  2.6423e+00   -4.0029 7.173e-05 ***      
                time2013      -1.0922e+01  2.6680e+00   -4.0936 4.928e-05 ***      
                time2014      -1.0515e+01  2.6940e+00   -3.9030 0.0001076 ***      
                time2015      -5.9705e+00  2.7123e+00   -2.2013 0.0281592 *        
                time2016      -6.1155e+00  2.6804e+00   -2.2816 0.0229206 *        
                time2017      -4.2898e+00  2.6634e+00   -1.6106 0.1078692          
                time2018      -9.0012e+00  2.6146e+00   -3.4427 0.0006226 ***      
                time2019      -5.1800e+00  2.4875e+00   -2.0824 0.0377968 *        
                fesisSGP.1997  9.9158e+02  1.0795e+01   91.8532 < 2.2e-16 ***      
                fesisSGP.1998 -3.6744e+02  3.8270e+01   -9.6012 < 2.2e-16 ***      
                fesisSGP.2000 -1.0273e+03  9.4783e+00 -108.3877 < 2.2e-16 ***      
                fesisSGP.2001  4.0046e+02  3.8652e+01   10.3606 < 2.2e-16 ***      
                fesisSGP.2002  6.1177e+01  8.8704e+00    6.8968 1.558e-11 ***      
                fesisSGP.2005 -4.6249e+01  7.2894e+00   -6.3448 4.871e-10 ***      
                fesisSGP.2007  1.9128e+01  5.8659e+00    3.2609 0.0011839 **       
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df  p-value         
                Ljung-Box AR(1)   0.35448  1 0.551587         
                Ljung-Box ARCH(1) 8.31661  1 0.003928 **      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression     7.43822      
                R-squared            0.99080      
                Log-lik.(n=574)  -1937.77729      
0.05

                Formula: count_ma~ gdp_ma + pop_ma      
                 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 10:55:32 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 574       
                Sample: 1 to 574       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error    t-stat   p-value          
                ar1            4.3558e-01  3.6414e-02   11.9621 < 2.2e-16 ***      
                gdp_ma        -1.4768e-01  2.6927e-01   -0.5484 0.5836215          
                pop_ma         2.9726e+00  1.1140e+00    2.6684 0.0078608 **       
                idAUT          3.2199e+00  2.4317e+00    1.3241 0.1860565          
                idBEL          4.0081e+00  2.4094e+00    1.6635 0.0968104 .        
                idBRA          7.9310e+00  2.2728e+00    3.4895 0.0005253 ***      
                idCAN          2.0912e+00  2.2012e+00    0.9500 0.3425400          
                idCHE          7.5623e-01  2.2661e+00    0.3337 0.7387306          
                idCHN          1.4973e+01  2.9276e+00    5.1143 4.446e-07 ***      
                idDEU          4.2759e+00  2.6734e+00    1.5994 0.1103416          
                idDNK          7.4097e+00  2.4943e+00    2.9707 0.0031100 **       
                idESP          4.6218e+00  2.3309e+00    1.9829 0.0479133 *        
                idFIN          3.4390e+00  2.4865e+00    1.3831 0.1672449          
                idFRA          3.6642e+00  2.4196e+00    1.5144 0.1305346          
                idGBR          3.0095e+00  2.3669e+00    1.2715 0.2041221          
                idIND          8.4157e+00  2.3856e+00    3.5277 0.0004566 ***      
                idISR          1.4129e+00  2.2931e+00    0.6161 0.5380709          
                idITA          4.1604e+00  2.6393e+00    1.5763 0.1155702          
                idJPN          3.5734e+00  2.7286e+00    1.3096 0.1909004          
                idKOR          8.7518e+00  2.4412e+00    3.5850 0.0003691 ***      
                idNLD          3.4055e+00  2.4208e+00    1.4068 0.1600867          
                idNOR          4.1494e+00  2.2779e+00    1.8216 0.0690991 .        
                idRUS          6.3004e+00  2.7714e+00    2.2734 0.0234115 *        
                idSGP         -2.6030e+01  8.1749e+00   -3.1841 0.0015396 **       
                idSWE          2.2455e+00  2.3251e+00    0.9658 0.3346002          
                idUSA          2.2564e+00  2.2412e+00    1.0068 0.3145169          
                time1996       6.8763e-01  2.8617e+00    0.2403 0.8102054          
                time1997       7.6287e+00  2.8162e+00    2.7089 0.0069760 **       
                time1998       3.0299e-01  2.8367e+00    0.1068 0.9149822          
                time1999       4.6217e+00  2.8643e+00    1.6135 0.1072382          
                time2000       1.4233e-01  2.8825e+00    0.0494 0.9606380          
                time2001      -8.4425e-01  2.8303e+00   -0.2983 0.7656029          
                time2002      -1.3352e+00  2.7514e+00   -0.4853 0.6276763          
                time2003       7.3963e-01  2.7883e+00    0.2653 0.7909167          
                time2004       4.8417e+00  2.8322e+00    1.7095 0.0879553 .        
                time2005       5.3452e+00  2.8781e+00    1.8572 0.0638477 .        
                time2006       5.8755e+00  2.9298e+00    2.0054 0.0454381 *        
                time2007       2.5395e+00  2.8978e+00    0.8763 0.3812515          
                time2008       1.9442e-01  2.7591e+00    0.0705 0.9438510          
                time2009      -1.4581e-01  2.7863e+00   -0.0523 0.9582853          
                time2010      -9.9077e-01  2.7327e+00   -0.3626 0.7170828          
                time2011      -4.0211e+00  2.7948e+00   -1.4388 0.1508132          
                time2012      -8.9552e+00  2.7441e+00   -3.2634 0.0011737 **       
                time2013      -9.2380e+00  2.7770e+00   -3.3266 0.0009418 ***      
                time2014      -8.8234e+00  2.8029e+00   -3.1479 0.0017395 **       
                time2015      -4.2732e+00  2.8212e+00   -1.5147 0.1304614          
                time2016      -4.4813e+00  2.7822e+00   -1.6107 0.1078612          
                time2017      -2.7059e+00  2.7593e+00   -0.9806 0.3272287          
                time2018      -7.4920e+00  2.7029e+00   -2.7718 0.0057754 **       
                time2019      -3.7292e+00  2.5734e+00   -1.4491 0.1479135          
                fesisSGP.1997  9.9182e+02  1.0760e+01   92.1741 < 2.2e-16 ***      
                fesisSGP.1998 -3.7552e+02  3.8336e+01   -9.7953 < 2.2e-16 ***      
                fesisSGP.2000 -1.0282e+03  9.4561e+00 -108.7344 < 2.2e-16 ***      
                fesisSGP.2001  4.0710e+02  3.8654e+01   10.5320 < 2.2e-16 ***      
                fesisSGP.2002  5.9895e+01  8.8621e+00    6.7586 3.776e-11 ***      
                fesisSGP.2005 -4.3972e+01  7.3456e+00   -5.9862 4.025e-09 ***      
                fesisSGP.2007  2.9967e+01  7.7926e+00    3.8456 0.0001353 ***      
                fesisSGP.2009 -1.3750e+01  6.5352e+00   -2.1039 0.0358682 *        
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                    Chi-sq df p-value         
                Ljung-Box AR(1)   0.090372  1 0.76370         
                Ljung-Box ARCH(1) 9.133363  1 0.00251 **      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression     7.41369      
                R-squared            0.99088      
                Log-lik.(n=574)  -1935.38143      

Log Count

0

0.01

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 10:54:32 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 598       
                Sample: 1 to 598       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error   t-stat   p-value          
                lgdp            1.409709   0.096283  14.6413 < 2.2e-16 ***      
                lpop            0.150570   0.280196   0.5374 0.5912357          
                idAUT           2.047217   0.210270   9.7361 < 2.2e-16 ***      
                idBEL           1.147697   0.156428   7.3369 8.313e-13 ***      
                idBRA          -4.489457   0.578095  -7.7660 4.253e-14 ***      
                idCAN           0.125576   0.141950   0.8847 0.3767484          
                idCHE           1.450998   0.246097   5.8960 6.655e-09 ***      
                idCHN          -4.951752   1.056966  -4.6849 3.570e-06 ***      
                idDEU           1.150515   0.367616   3.1297 0.0018470 **       
                idDNK          -0.977875   0.383078  -2.5527 0.0109707 *        
                idESP          -0.616615   0.241494  -2.5533 0.0109501 *        
                idFIN           2.275258   0.312868   7.2723 1.286e-12 ***      
                idFRA           0.500252   0.311311   1.6069 0.1086709          
                idGBR           0.463307   0.310738   1.4910 0.1365635          
                idIND          -7.375306   0.972327  -7.5852 1.512e-13 ***      
                idISR           0.100498   0.277339   0.3624 0.7172241          
                idITA          -0.303229   0.296833  -1.0215 0.3074646          
                idJPN          -5.434958   0.519726 -10.4573 < 2.2e-16 ***      
                idKOR          -8.427241   0.542520 -15.5335 < 2.2e-16 ***      
                idNLD           1.215693   0.082624  14.7136 < 2.2e-16 ***      
                idNOR          -2.134430   0.444367  -4.8033 2.037e-06 ***      
                idRUS          -6.491350   0.485318 -13.3754 < 2.2e-16 ***      
                idSGP          -0.026718   0.405960  -0.0658 0.9475507          
                idSWE          -0.960806   0.280585  -3.4243 0.0006644 ***      
                idUSA          -0.871847   0.661377  -1.3182 0.1879994          
                time1995      -37.111053   3.901240  -9.5126 < 2.2e-16 ***      
                time1996      -36.988983   3.903009  -9.4770 < 2.2e-16 ***      
                time1997      -36.953827   3.902966  -9.4681 < 2.2e-16 ***      
                time1998      -36.867695   3.903151  -9.4456 < 2.2e-16 ***      
                time1999      -36.807857   3.904691  -9.4266 < 2.2e-16 ***      
                time2000      -36.773384   3.905816  -9.4150 < 2.2e-16 ***      
                time2001      -36.702628   3.907731  -9.3923 < 2.2e-16 ***      
                time2002      -36.716276   3.909381  -9.3918 < 2.2e-16 ***      
                time2003      -36.581877   3.911044  -9.3535 < 2.2e-16 ***      
                time2004      -36.604636   3.911382  -9.3585 < 2.2e-16 ***      
                time2005      -36.514027   3.912297  -9.3331 < 2.2e-16 ***      
                time2006      -36.413951   3.914194  -9.3031 < 2.2e-16 ***      
                time2007      -36.330322   3.917216  -9.2745 < 2.2e-16 ***      
                time2008      -36.235117   3.919555  -9.2447 < 2.2e-16 ***      
                time2009      -36.077940   3.920818  -9.2016 < 2.2e-16 ***      
                time2010      -36.032190   3.922716  -9.1855 < 2.2e-16 ***      
                time2011      -35.998508   3.924361  -9.1731 < 2.2e-16 ***      
                time2012      -36.039105   3.926508  -9.1784 < 2.2e-16 ***      
                time2013      -36.121807   3.925323  -9.2023 < 2.2e-16 ***      
                time2014      -36.168757   3.927088  -9.2101 < 2.2e-16 ***      
                time2015      -36.237572   3.928807  -9.2236 < 2.2e-16 ***      
                time2016      -36.249308   3.930577  -9.2224 < 2.2e-16 ***      
                time2017      -36.265159   3.932112  -9.2228 < 2.2e-16 ***      
                time2018      -36.270680   3.933570  -9.2208 < 2.2e-16 ***      
                time2019      -36.369400   3.934943  -9.2427 < 2.2e-16 ***      
                fesisAUS.2005  -0.320543   0.087390  -3.6679 0.0002693 ***      
                fesisAUS.2009  -0.458649   0.087219  -5.2586 2.114e-07 ***      
                fesisBRA.1998   0.609277   0.104526   5.8289 9.726e-09 ***      
                fesisBRA.2004   0.574725   0.071414   8.0478 5.626e-15 ***      
                fesisCHE.2003  -0.475578   0.063751  -7.4600 3.592e-13 ***      
                fesisCHN.2004   0.780563   0.099544   7.8414 2.489e-14 ***      
                fesisCHN.2016   0.572680   0.096912   5.9093 6.172e-09 ***      
                fesisDNK.2007   0.762485   0.059636  12.7855 < 2.2e-16 ***      
                fesisESP.2005   0.552202   0.061510   8.9774 < 2.2e-16 ***      
                fesisIND.2000   0.534198   0.098975   5.3973 1.024e-07 ***      
                fesisIND.2004   0.310698   0.091109   3.4102 0.0006990 ***      
                fesisISR.2013  -0.301275   0.075102  -4.0116 6.905e-05 ***      
                fesisITA.2012   0.318957   0.065702   4.8546 1.592e-06 ***      
                fesisKOR.2004   0.624711   0.080328   7.7770 3.934e-14 ***      
                fesisKOR.2010   0.278193   0.076951   3.6152 0.0003290 ***      
                fesisRUS.2003  -0.314167   0.094549  -3.3228 0.0009531 ***      
                fesisRUS.2007  -0.339014   0.087087  -3.8928 0.0001118 ***      
                fesisSGP.1997  -1.478111   0.179103  -8.2529 1.248e-15 ***      
                fesisSGP.1998   2.279904   0.153145  14.8872 < 2.2e-16 ***      
                fesisSGP.2013  -0.232398   0.077128  -3.0131 0.0027100 **       
                fesisSWE.2001  -0.505527   0.069377  -7.2866 1.168e-12 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   62.533  1 2.665e-15 ***      
                Ljung-Box ARCH(1) 48.999  1 2.561e-12 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.14279      
                R-squared          0.99246      
                Log-lik.(n=598)  350.89595      
0.05

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 10:54:31 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 598       
                Sample: 1 to 598       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error   t-stat   p-value          
                lgdp            1.583919   0.085631  18.4970 < 2.2e-16 ***      
                lpop            0.290233   0.257646   1.1265 0.2604828          
                idAUT           2.593243   0.199512  12.9979 < 2.2e-16 ***      
                idBEL           1.425446   0.147256   9.6801 < 2.2e-16 ***      
                idBRA          -4.935958   0.535933  -9.2100 < 2.2e-16 ***      
                idCAN           0.122207   0.128284   0.9526 0.3412185          
                idCHE           1.734350   0.229641   7.5524 1.934e-13 ***      
                idCHN          -6.081703   0.986511  -6.1649 1.417e-09 ***      
                idDEU           0.793617   0.342197   2.3192 0.0207717 *        
                idDNK          -0.871438   0.349903  -2.4905 0.0130668 *        
                idESP          -0.670014   0.220044  -3.0449 0.0024454 **       
                idFIN           3.154938   0.302484  10.4301 < 2.2e-16 ***      
                idFRA           0.233647   0.288836   0.8089 0.4189283          
                idGBR           0.231117   0.287463   0.8040 0.4217715          
                idIND          -8.541132   0.911212  -9.3734 < 2.2e-16 ***      
                idISR           0.308392   0.256651   1.2016 0.2300661          
                idITA          -0.521381   0.274466  -1.8996 0.0580359 .        
                idJPN          -6.762776   0.489658 -13.8112 < 2.2e-16 ***      
                idKOR          -9.700978   0.492431 -19.7002 < 2.2e-16 ***      
                idNLD           1.340775   0.075640  17.7258 < 2.2e-16 ***      
                idNOR          -1.998233   0.408838  -4.8876 1.362e-06 ***      
                idRUS          -7.424710   0.460615 -16.1191 < 2.2e-16 ***      
                idSGP           0.552795   0.380632   1.4523 0.1470191          
                idSWE          -1.016333   0.252541  -4.0244 6.560e-05 ***      
                idUSA          -1.711610   0.620637  -2.7578 0.0060234 **       
                time1995      -44.281766   3.702010 -11.9615 < 2.2e-16 ***      
                time1996      -44.166082   3.703728 -11.9248 < 2.2e-16 ***      
                time1997      -44.116106   3.704003 -11.9104 < 2.2e-16 ***      
                time1998      -44.030371   3.704245 -11.8865 < 2.2e-16 ***      
                time1999      -43.978509   3.705769 -11.8676 < 2.2e-16 ***      
                time2000      -43.952469   3.706916 -11.8569 < 2.2e-16 ***      
                time2001      -43.884291   3.708717 -11.8327 < 2.2e-16 ***      
                time2002      -43.917818   3.710299 -11.8367 < 2.2e-16 ***      
                time2003      -43.798904   3.711630 -11.8004 < 2.2e-16 ***      
                time2004      -43.768657   3.712635 -11.7891 < 2.2e-16 ***      
                time2005      -43.680613   3.713516 -11.7626 < 2.2e-16 ***      
                time2006      -43.620414   3.715279 -11.7408 < 2.2e-16 ***      
                time2007      -43.530046   3.717615 -11.7091 < 2.2e-16 ***      
                time2008      -43.412755   3.719632 -11.6712 < 2.2e-16 ***      
                time2009      -43.250061   3.720699 -11.6242 < 2.2e-16 ***      
                time2010      -43.209854   3.722486 -11.6078 < 2.2e-16 ***      
                time2011      -43.182029   3.724082 -11.5953 < 2.2e-16 ***      
                time2012      -43.213018   3.725617 -11.5989 < 2.2e-16 ***      
                time2013      -43.288964   3.724359 -11.6232 < 2.2e-16 ***      
                time2014      -43.328104   3.725453 -11.6303 < 2.2e-16 ***      
                time2015      -43.401513   3.727101 -11.6448 < 2.2e-16 ***      
                time2016      -43.415043   3.728697 -11.6435 < 2.2e-16 ***      
                time2017      -43.436739   3.730190 -11.6446 < 2.2e-16 ***      
                time2018      -43.447449   3.731604 -11.6431 < 2.2e-16 ***      
                time2019      -43.550318   3.732927 -11.6665 < 2.2e-16 ***      
                fesisAUS.2005  -0.366210   0.077994  -4.6954 3.409e-06 ***      
                fesisAUS.2009  -0.526663   0.078268  -6.7290 4.522e-11 ***      
                fesisAUT.2002  -0.282598   0.058925  -4.7959 2.118e-06 ***      
                fesisBRA.1998   0.558915   0.095888   5.8288 9.805e-09 ***      
                fesisBRA.2003   0.346055   0.095286   3.6317 0.0003094 ***      
                fesisBRA.2006   0.752354   0.118658   6.3405 4.976e-10 ***      
                fesisBRA.2008  -0.636457   0.099629  -6.3883 3.728e-10 ***      
                fesisCAN.2007  -0.273636   0.054340  -5.0356 6.578e-07 ***      
                fesisCHE.2003  -0.529906   0.057236  -9.2582 < 2.2e-16 ***      
                fesisCHN.2002   0.640992   0.088279   7.2610 1.410e-12 ***      
                fesisCHN.2016   0.495376   0.089355   5.5439 4.711e-08 ***      
                fesisDNK.2007   0.723632   0.053405  13.5500 < 2.2e-16 ***      
                fesisESP.2005   0.488700   0.055421   8.8179 < 2.2e-16 ***      
                fesisFIN.1997  -0.427741   0.097143  -4.4032 1.295e-05 ***      
                fesisIND.2000   0.506140   0.088327   5.7303 1.700e-08 ***      
                fesisIND.2004   0.269884   0.080784   3.3408 0.0008953 ***      
                fesisIND.2014  -0.306386   0.073851  -4.1487 3.905e-05 ***      
                fesisISR.2013  -0.419616   0.068845  -6.0951 2.133e-09 ***      
                fesisITA.2012   0.300929   0.058755   5.1217 4.272e-07 ***      
                fesisKOR.2004   0.553846   0.071223   7.7762 4.037e-14 ***      
                fesisKOR.2010   0.214401   0.068728   3.1196 0.0019117 **       
                fesisNOR.2012  -0.300661   0.058251  -5.1614 3.494e-07 ***      
                fesisRUS.2003  -0.353851   0.084300  -4.1975 3.174e-05 ***      
                fesisRUS.2007  -0.399761   0.077395  -5.1652 3.427e-07 ***      
                fesisSGP.1997  -1.517458   0.159554  -9.5106 < 2.2e-16 ***      
                fesisSGP.1998   2.213447   0.136716  16.1902 < 2.2e-16 ***      
                fesisSGP.2013  -0.376407   0.070815  -5.3154 1.582e-07 ***      
                fesisSWE.2001  -0.561353   0.062025  -9.0505 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   26.422  1 2.745e-07 ***      
                Ljung-Box ARCH(1) 14.529  1  0.000138 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.12714      
                R-squared          0.99410      
                Log-lik.(n=598)  423.83239      

1

0.01

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 10:55:24 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 574       
                Sample: 1 to 574       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error  t-stat   p-value          
                ar1            0.6954754  0.0251729 27.6280 < 2.2e-16 ***      
                lgdp           0.3847172  0.0760837  5.0565 5.976e-07 ***      
                lpop          -0.0755695  0.2076435 -0.3639 0.7160554          
                idAUT          0.4468965  0.1788737  2.4984 0.0127914 *        
                idBEL          0.2270633  0.1325149  1.7135 0.0872333 .        
                idBRA         -0.8012960  0.4508266 -1.7774 0.0761030 .        
                idCAN          0.1078926  0.1117479  0.9655 0.3347547          
                idCHE          0.1622107  0.1890717  0.8579 0.3913353          
                idCHN         -0.8445526  0.8198252 -1.0302 0.3034253          
                idDEU          0.5526943  0.2848484  1.9403 0.0528961 .        
                idDNK         -0.4408042  0.2850738 -1.5463 0.1226607          
                idESP          0.0062951  0.1809031  0.0348 0.9722542          
                idFIN          0.4321573  0.2580489  1.6747 0.0946076 .        
                idFRA          0.3170269  0.2382578  1.3306 0.1839172          
                idGBR          0.2833876  0.2357891  1.2019 0.2299754          
                idIND         -1.2392885  0.7771593 -1.5946 0.1114162          
                idISR         -0.1348520  0.2039008 -0.6614 0.5086816          
                idITA          0.0823284  0.2238527  0.3678 0.7131912          
                idJPN         -1.1757472  0.4327717 -2.7168 0.0068173 **       
                idKOR         -1.9253285  0.4544445 -4.2367 2.695e-05 ***      
                idNLD          0.3128674  0.0768076  4.0734 5.376e-05 ***      
                idNOR         -0.7814075  0.3308669 -2.3617 0.0185686 *        
                idRUS         -1.4539909  0.4260313 -3.4129 0.0006942 ***      
                idSGP         -0.7195949  0.3335438 -2.1574 0.0314419 *        
                idSWE         -0.4718656  0.2049197 -2.3027 0.0217006 *        
                idUSA          0.1756304  0.5175986  0.3393 0.7345109          
                time1996      -7.9012823  3.2680620 -2.4177 0.0159694 *        
                time1997      -7.9702361  3.2682931 -2.4387 0.0150842 *        
                time1998      -7.8512322  3.2677049 -2.4027 0.0166341 *        
                time1999      -7.8826820  3.2683313 -2.4118 0.0162267 *        
                time2000      -7.8447862  3.2687146 -2.4000 0.0167565 *        
                time2001      -7.8603627  3.2699832 -2.4038 0.0165839 *        
                time2002      -7.9060333  3.2709774 -2.4170 0.0159999 *        
                time2003      -7.8158123  3.2722249 -2.3885 0.0172807 *        
                time2004      -7.7941235  3.2731366 -2.3812 0.0176227 *        
                time2005      -7.7334380  3.2732820 -2.3626 0.0185242 *        
                time2006      -7.7263761  3.2741942 -2.3598 0.0186638 *        
                time2007      -7.6607061  3.2752482 -2.3390 0.0197245 *        
                time2008      -7.6760545  3.2754784 -2.3435 0.0194896 *        
                time2009      -7.6433658  3.2757846 -2.3333 0.0200229 *        
                time2010      -7.6014795  3.2764656 -2.3200 0.0207357 *        
                time2011      -7.6183656  3.2773106 -2.3246 0.0204886 *        
                time2012      -7.6803226  3.2783557 -2.3427 0.0195287 *        
                time2013      -7.7616057  3.2799601 -2.3664 0.0183384 *        
                time2014      -7.7292559  3.2821299 -2.3550 0.0189053 *        
                time2015      -7.7747983  3.2838851 -2.3676 0.0182802 *        
                time2016      -7.7106398  3.2857893 -2.3467 0.0193264 *        
                time2017      -7.7274938  3.2870377 -2.3509 0.0191102 *        
                time2018      -7.7236248  3.2883146 -2.3488 0.0192165 *        
                time2019      -7.8225848  3.2894077 -2.3781 0.0177711 *        
                fesisAUS.2005 -0.2141236  0.0586964 -3.6480 0.0002917 ***      
                fesisBRA.2006  0.8098272  0.1338568  6.0499 2.817e-09 ***      
                fesisBRA.2007 -0.7225886  0.1315957 -5.4910 6.330e-08 ***      
                fesisCHN.2001  0.3136327  0.0790074  3.9697 8.237e-05 ***      
                fesisCHN.2015  0.2226717  0.0771590  2.8859 0.0040695 **       
                fesisDNK.2005  0.2448636  0.0565488  4.3301 1.797e-05 ***      
                fesisIND.1998 -0.5157219  0.1271549 -4.0559 5.782e-05 ***      
                fesisIND.2000  0.4965391  0.0985373  5.0391 6.518e-07 ***      
                fesisRUS.2001 -0.2924836  0.0731881 -3.9963 7.388e-05 ***      
                fesisSGP.1997 -0.7486485  0.1800041 -4.1591 3.753e-05 ***      
                fesisSGP.1998  2.7663481  0.1812810 15.2600 < 2.2e-16 ***      
                fesisSGP.1999 -0.8131798  0.1858519 -4.3754 1.472e-05 ***      
                fesisSGP.2000 -0.7610382  0.1465361 -5.1935 2.994e-07 ***      
                fesisSGP.2003  0.5643925  0.1159824  4.8662 1.521e-06 ***      
                fesisSGP.2005 -0.3779635  0.1162675 -3.2508 0.0012273 **       
                fesisSGP.2008  0.4022648  0.1168755  3.4418 0.0006256 ***      
                fesisSGP.2010 -0.3763188  0.0992433 -3.7919 0.0001675 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   11.001  1 0.0009107 ***      
                Ljung-Box ARCH(1) 38.747  1 4.824e-10 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.12399      
                R-squared          0.99412      
                Log-lik.(n=574)  417.30345      
0.05

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 10:55:22 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 574       
                Sample: 1 to 574       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error  t-stat   p-value          
                ar1             0.6966517   0.0249540 27.9174 < 2.2e-16 ***      
                lgdp            0.4182960   0.0736240  5.6815 2.281e-08 ***      
                lpop           -0.0023955   0.2328888 -0.0103 0.9917971          
                idAUT           0.5654466   0.1978663  2.8577 0.0044467 **       
                idBEL           0.3220613   0.1443718  2.2308 0.0261432 *        
                idBRA          -0.9870868   0.5059684 -1.9509 0.0516344 .        
                idCAN          -0.2032322   0.1624772 -1.2508 0.2115855          
                idCHE           0.2659383   0.2119797  1.2545 0.2102356          
                idCHN          -1.2365942   0.9292955 -1.3307 0.1839072          
                idDEU           0.4278032   0.3238682  1.3209 0.1871392          
                idDNK          -0.3598359   0.3145739 -1.1439 0.2532247          
                idESP          -0.1792783   0.1933524 -0.9272 0.3542694          
                idFIN           0.5995661   0.2903206  2.0652 0.0394254 *        
                idFRA           0.2223271   0.2694795  0.8250 0.4097552          
                idGBR           0.1970350   0.2655786  0.7419 0.4584948          
                idIND          -1.6478983   0.8790011 -1.8747 0.0614171 .        
                idISR          -0.0126376   0.2564214 -0.0493 0.9607126          
                idITA           0.0011124   0.2518474  0.0044 0.9964776          
                idJPN          -1.5090351   0.4655014 -3.2417 0.0012681 **       
                idKOR          -2.2166099   0.4469900 -4.9590 9.755e-07 ***      
                idNLD           0.3576320   0.0755973  4.7308 2.922e-06 ***      
                idNOR          -0.6944114   0.3621858 -1.9173 0.0557777 .        
                idRUS          -1.5787590   0.4876867 -3.2372 0.0012878 **       
                idSGP          -0.5423574   0.3726009 -1.4556 0.1461375          
                idSWE          -0.4435894   0.2173705 -2.0407 0.0418100 *        
                idUSA          -0.1035477   0.5935842 -0.1744 0.8615872          
                time1996      -10.0524812   3.6876773 -2.7260 0.0066386 **       
                time1997      -10.1344707   3.6882747 -2.7478 0.0062195 **       
                time1998      -10.0048238   3.6882095 -2.7127 0.0069072 **       
                time1999      -10.0382669   3.6891172 -2.7210 0.0067367 **       
                time2000      -10.0337494   3.6902231 -2.7190 0.0067777 **       
                time2001      -10.0252031   3.6910677 -2.7161 0.0068373 **       
                time2002      -10.0722467   3.6923161 -2.7279 0.0066005 **       
                time2003       -9.9754741   3.6929190 -2.7012 0.0071450 **       
                time2004       -9.9791532   3.6937325 -2.7016 0.0071365 **       
                time2005       -9.9267898   3.6935119 -2.6876 0.0074384 **       
                time2006       -9.9027849   3.6947150 -2.6803 0.0076018 **       
                time2007       -9.8671449   3.6960808 -2.6696 0.0078432 **       
                time2008       -9.8681262   3.6969087 -2.6693 0.0078508 **       
                time2009       -9.8239072   3.6968700 -2.6574 0.0081301 **       
                time2010       -9.7833075   3.6977076 -2.6458 0.0084097 **       
                time2011       -9.8017796   3.6988338 -2.6500 0.0083076 **       
                time2012       -9.8648865   3.7001753 -2.6661 0.0079256 **       
                time2013       -9.9473161   3.7019332 -2.6871 0.0074509 **       
                time2014       -9.9161755   3.7041211 -2.6771 0.0076735 **       
                time2015       -9.9618914   3.7059959 -2.6880 0.0074293 **       
                time2016       -9.8989993   3.7079782 -2.6696 0.0078426 **       
                time2017       -9.9173309   3.7093795 -2.6736 0.0077525 **       
                time2018       -9.9147751   3.7107830 -2.6719 0.0077913 **       
                time2019      -10.0148393   3.7120258 -2.6979 0.0072151 **       
                fesisAUS.2005  -0.2174749   0.0568654 -3.8244 0.0001478 ***      
                fesisBRA.2006   0.8061765   0.1250430  6.4472 2.710e-10 ***      
                fesisBRA.2007  -0.7228872   0.1226453 -5.8941 6.974e-09 ***      
                fesisCAN.1997   0.5507468   0.1673651  3.2907 0.0010707 **       
                fesisCAN.1998  -0.2805395   0.1216201 -2.3067 0.0214843 *        
                fesisCHN.2001   0.2955494   0.0742061  3.9828 7.833e-05 ***      
                fesisCHN.2015   0.1978731   0.0722206  2.7398 0.0063688 **       
                fesisDNK.2005   0.3958574   0.1244279  3.1814 0.0015576 **       
                fesisDNK.2006  -0.4554570   0.1671047 -2.7256 0.0066463 **       
                fesisDNK.2007   0.6657049   0.1667969  3.9911 7.572e-05 ***      
                fesisDNK.2008  -0.3634520   0.1237841 -2.9362 0.0034775 **       
                fesisESP.2003   0.2028475   0.0561103  3.6152 0.0003309 ***      
                fesisIND.1998  -0.5263826   0.1185346 -4.4408 1.107e-05 ***      
                fesisIND.2000   0.7526016   0.1447303  5.2000 2.921e-07 ***      
                fesisIND.2001  -0.2784363   0.1259958 -2.2099 0.0275700 *        
                fesisISR.2003  -0.3849292   0.1298079 -2.9654 0.0031691 **       
                fesisISR.2004   0.5597327   0.1294842  4.3228 1.864e-05 ***      
                fesisISR.2009  -0.2775278   0.0673930 -4.1180 4.477e-05 ***      
                fesisRUS.1997  -0.3050201   0.1366812 -2.2316 0.0260872 *        
                fesisRUS.2000   0.4781293   0.1364400  3.5043 0.0004993 ***      
                fesisRUS.2001  -0.6096924   0.1250510 -4.8755 1.464e-06 ***      
                fesisSGP.1997  -0.7403378   0.1679040 -4.4093 1.273e-05 ***      
                fesisSGP.1998   2.7551797   0.1689742 16.3053 < 2.2e-16 ***      
                fesisSGP.1999  -0.8161734   0.1737635 -4.6970 3.424e-06 ***      
                fesisSGP.2000  -0.7497201   0.1364386 -5.4949 6.265e-08 ***      
                fesisSGP.2003   0.5590960   0.1079976  5.1769 3.286e-07 ***      
                fesisSGP.2005  -0.3706918   0.1085128 -3.4161 0.0006875 ***      
                fesisSGP.2008   0.3846397   0.1094808  3.5133 0.0004831 ***      
                fesisSGP.2010  -0.3947698   0.0927535 -4.2561 2.489e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    6.3383  1   0.01182 *        
                Ljung-Box ARCH(1) 26.3537  1 2.843e-07 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.11537      
                R-squared          0.99503      
                Log-lik.(n=574)  464.65632      

Energy

with IIS

Count

0

0.01

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 11:03:59 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 598       
                Sample: 1 to 598       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                gdp            2.9652e-12  7.9130e-14  37.4718 < 2.2e-16 ***      
                pop           -6.0530e-07  1.6039e-07  -3.7740 0.0001797 ***      
                idAUT         -2.3508e+00  2.8370e+01  -0.0829 0.9339936          
                idBEL         -3.5724e+01  2.8344e+01  -1.2604 0.2081156          
                idBRA          3.8764e+01  3.9106e+01   0.9913 0.3220335          
                idCAN          1.1352e+02  2.8358e+01   4.0030 7.192e-05 ***      
                idCHE          5.8095e+00  2.8377e+01   0.2047 0.8378699          
                idCHN          8.2723e+02  2.0500e+02   4.0354 6.297e-05 ***      
                idDEU          5.8699e+02  3.7151e+01  15.8001 < 2.2e-16 ***      
                idDNK          7.9761e+01  2.8407e+01   2.8078 0.0051813 **       
                idESP          3.1345e+01  2.8530e+01   1.0987 0.2724389          
                idFIN         -3.7955e+01  2.8409e+01  -1.3360 0.1821450          
                idFRA          2.8155e+02  2.9102e+01   9.6747 < 2.2e-16 ***      
                idGBR          2.0620e+02  2.9031e+01   7.1025 4.187e-12 ***      
                idIND          4.8239e+02  1.8812e+02   2.5642 0.0106285 *        
                idISR         -2.2515e+01  2.9037e+01  -0.7754 0.4384719          
                idITA          6.7950e+01  2.8921e+01   2.3495 0.0191844 *        
                idJPN          5.9714e+02  6.8877e+01   8.6696 < 2.2e-16 ***      
                idKOR         -2.1191e+03  7.7839e+01 -27.2242 < 2.2e-16 ***      
                idNLD          2.5684e+01  2.8305e+01   0.9074 0.3646348          
                idNOR         -5.3150e+01  2.8418e+01  -1.8703 0.0620239 .        
                idRUS         -5.7911e+01  4.1473e+01  -1.3964 0.1632202          
                idSGP         -5.3215e+01  2.8418e+01  -1.8726 0.0617020 .        
                idSWE         -1.7758e+01  2.8361e+01  -0.6262 0.5314925          
                idUSA          1.3165e+03  6.6081e+01  19.9231 < 2.2e-16 ***      
                time1995      -1.0041e+01  2.9415e+01  -0.3414 0.7329738          
                time1996      -1.0003e+01  2.9418e+01  -0.3400 0.7339786          
                time1997      -9.2935e+00  2.9063e+01  -0.3198 0.7492709          
                time1998       4.4965e+00  2.9076e+01   0.1546 0.8771604          
                time1999      -1.0106e+01  2.8826e+01  -0.3506 0.7260437          
                time2000       1.5947e+01  2.8605e+01   0.5575 0.5774426          
                time2001       3.2217e+01  2.8612e+01   1.1260 0.2607055          
                time2002       3.4087e+01  2.8616e+01   1.1912 0.2341383          
                time2003       1.6034e+01  2.8599e+01   0.5607 0.5752834          
                time2004       3.8885e+01  2.8609e+01   1.3592 0.1747004          
                time2005       5.5212e+01  2.8875e+01   1.9121 0.0564292 .        
                time2006       6.5902e+01  2.8889e+01   2.2812 0.0229531 *        
                time2007       8.0276e+01  2.8931e+01   2.7747 0.0057301 **       
                time2008       1.1811e+02  2.8957e+01   4.0788 5.259e-05 ***      
                time2009       2.1047e+02  2.8986e+01   7.2611 1.461e-12 ***      
                time2010       2.2015e+02  2.9312e+01   7.5107 2.687e-13 ***      
                time2011       2.1846e+02  2.9323e+01   7.4500 4.073e-13 ***      
                time2012       1.9755e+02  2.9357e+01   6.7294 4.636e-11 ***      
                time2013       1.6503e+02  2.9394e+01   5.6144 3.259e-08 ***      
                time2014       1.3275e+02  2.9434e+01   4.5101 8.064e-06 ***      
                time2015       1.0411e+02  2.9474e+01   3.5323 0.0004497 ***      
                time2016       1.0417e+02  2.9782e+01   3.4977 0.0005108 ***      
                time2017       1.0686e+02  2.9818e+01   3.5838 0.0003714 ***      
                time2018       1.0675e+02  2.9855e+01   3.5757 0.0003829 ***      
                time2019       7.6545e+01  2.9889e+01   2.5609 0.0107284 *        
                iis172         6.6243e+02  1.1222e+02   5.9030 6.554e-09 ***      
                iis173         1.1126e+03  1.1226e+02   9.9110 < 2.2e-16 ***      
                iis174         1.5390e+03  1.1230e+02  13.7041 < 2.2e-16 ***      
                iis175         1.6622e+03  1.1234e+02  14.7961 < 2.2e-16 ***      
                iis399        -9.6203e+02  1.1450e+02  -8.4019 4.486e-16 ***      
                iis400        -9.3348e+02  1.1448e+02  -8.1539 2.805e-15 ***      
                iis401        -8.7692e+02  1.1438e+02  -7.6670 9.104e-14 ***      
                iis402        -6.9928e+02  1.1438e+02  -6.1137 1.950e-09 ***      
                iis414         1.2943e+03  1.4475e+02   8.9419 < 2.2e-16 ***      
                iis415         1.7338e+03  1.4476e+02  11.9769 < 2.2e-16 ***      
                iis416         1.2605e+03  1.4475e+02   8.7077 < 2.2e-16 ***      
                iis417         7.4550e+02  1.4475e+02   5.1503 3.734e-07 ***      
                iis418         7.8434e+02  1.4475e+02   5.4187 9.311e-08 ***      
                iis419         5.4901e+02  1.4474e+02   3.7930 0.0001669 ***      
                iis420         6.1764e+02  1.4480e+02   4.2654 2.383e-05 ***      
                iis421         7.8662e+02  1.4480e+02   5.4324 8.661e-08 ***      
                iis422         7.5854e+02  1.4480e+02   5.2384 2.382e-07 ***      
                iis574        -6.7559e+02  1.1218e+02  -6.0224 3.312e-09 ***      
                iis575        -7.1707e+02  1.1218e+02  -6.3922 3.724e-10 ***      
                iis576        -6.1083e+02  1.1208e+02  -5.4501 7.884e-08 ***      
                iis577        -5.2964e+02  1.1207e+02  -4.7258 2.976e-06 ***      
                iis578        -4.0180e+02  1.1198e+02  -3.5881 0.0003655 ***      
                iis585         3.9456e+02  1.4452e+02   2.7302 0.0065507 **       
                iis586         8.8310e+02  1.4454e+02   6.1097 1.995e-09 ***      
                iis587         1.3347e+03  1.4454e+02   9.2341 < 2.2e-16 ***      
                iis588         1.6296e+03  1.4454e+02  11.2741 < 2.2e-16 ***      
                iis589         1.8182e+03  1.4463e+02  12.5720 < 2.2e-16 ***      
                iis590         1.7506e+03  1.4466e+02  12.1016 < 2.2e-16 ***      
                iis591         1.6682e+03  1.4466e+02  11.5316 < 2.2e-16 ***      
                iis592         1.7100e+03  1.4466e+02  11.8208 < 2.2e-16 ***      
                iis593         1.1671e+03  1.4467e+02   8.0677 5.256e-15 ***      
                iis594         1.1364e+03  1.4467e+02   7.8552 2.418e-14 ***      
                iis595         1.0265e+03  1.4474e+02   7.0923 4.477e-12 ***      
                iis596         8.4593e+02  1.4475e+02   5.8442 9.138e-09 ***      
                iis597         8.1024e+02  1.4475e+02   5.5974 3.576e-08 ***      
                iis598         7.1942e+02  1.4476e+02   4.9697 9.195e-07 ***      
                fesisCHN.2011  5.6336e+02  5.3707e+01  10.4895 < 2.2e-16 ***      
                fesisDEU.2007  8.8793e+02  4.1188e+01  21.5581 < 2.2e-16 ***      
                fesisJPN.2003  6.8862e+02  6.4130e+01  10.7378 < 2.2e-16 ***      
                fesisJPN.2010  5.9790e+02  1.0949e+02   5.4609 7.444e-08 ***      
                fesisKOR.2000 -5.0446e+02  7.1415e+01  -7.0638 5.399e-12 ***      
                fesisRUS.2007 -1.8937e+02  4.1192e+01  -4.5972 5.417e-06 ***      
                fesisUSA.2005  3.5442e+02  1.1196e+02   3.1657 0.0016407 **       
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)   190.641  1 < 2.2e-16 ***      
                Ljung-Box ARCH(1)  86.568  1 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression   100.03629      
                R-squared            0.98842      
                Log-lik.(n=598)  -3556.13400      
0.05

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 11:03:59 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 598       
                Sample: 1 to 598       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                gdp            2.8973e-12  7.2791e-14  39.8023 < 2.2e-16 ***      
                pop           -2.0792e-07  2.5283e-07  -0.8224 0.4112629          
                idAUT          2.6985e+00  2.6025e+01   0.1037 0.9174568          
                idBEL          2.3649e+01  3.1667e+01   0.7468 0.4555271          
                idBRA          4.0062e+01  5.1354e+01   0.7801 0.4357002          
                idCAN          1.0882e+02  2.5993e+01   4.1864 3.356e-05 ***      
                idCHE          1.1129e+01  2.6045e+01   0.4273 0.6693395          
                idCHN          3.4069e+02  3.1986e+02   1.0651 0.2873369          
                idDEU          5.8307e+02  3.6471e+01  15.9872 < 2.2e-16 ***      
                idDNK          8.6037e+01  2.6124e+01   3.2934 0.0010609 **       
                idESP          2.2252e+01  2.6456e+01   0.8411 0.4006999          
                idFIN          2.9516e+01  3.2638e+01   0.9044 0.3662465          
                idFRA          2.6471e+02  2.7962e+01   9.4669 < 2.2e-16 ***      
                idGBR          1.9010e+02  2.7779e+01   6.8434 2.298e-11 ***      
                idIND          9.2353e+01  2.7389e+02   0.3372 0.7361124          
                idISR         -1.8654e+01  2.6673e+01  -0.6994 0.4846488          
                idITA          5.3122e+01  2.7492e+01   1.9323 0.0538938 .        
                idJPN          6.9822e+02  7.2553e+01   9.6236 < 2.2e-16 ***      
                idKOR         -2.0614e+03  7.2038e+01 -28.6161 < 2.2e-16 ***      
                idNLD          2.7538e+01  2.5848e+01   1.0654 0.2872269          
                idNOR          1.9206e+01  3.1793e+01   0.6041 0.5460675          
                idRUS         -8.3797e+01  4.6193e+01  -1.8141 0.0702711 .        
                idSGP          1.5490e+01  3.2666e+01   0.4742 0.6355649          
                idSWE          4.7941e+01  3.1698e+01   1.5125 0.1310564          
                idUSA          1.2972e+03  8.4349e+01  15.3786 < 2.2e-16 ***      
                time1995      -3.6535e+01  2.7109e+01  -1.3477 0.1783719          
                time1996      -3.6998e+01  2.7137e+01  -1.3634 0.1733803          
                time1997      -3.5834e+01  2.6835e+01  -1.3354 0.1823763          
                time1998      -2.2796e+01  2.6884e+01  -0.8479 0.3968766          
                time1999      -2.5808e+01  2.6927e+01  -0.9584 0.3383134          
                time2000      -6.4007e+00  2.6811e+01  -0.2387 0.8114062          
                time2001      -3.5116e+00  2.6637e+01  -0.1318 0.8951710          
                time2002      -1.9991e+00  2.6685e+01  -0.0749 0.9403126          
                time2003      -1.6309e+01  2.6694e+01  -0.6110 0.5415013          
                time2004       6.2003e+00  2.6753e+01   0.2318 0.8168204          
                time2005       2.4952e+01  2.7022e+01   0.9234 0.3562502          
                time2006       3.5371e+01  2.7085e+01   1.3059 0.1921858          
                time2007       7.3377e+01  2.7468e+01   2.6714 0.0078033 **       
                time2008       1.2421e+02  2.7309e+01   4.5484 6.809e-06 ***      
                time2009       2.1603e+02  2.7395e+01   7.8856 2.021e-14 ***      
                time2010       2.3423e+02  2.7210e+01   8.6081 < 2.2e-16 ***      
                time2011       2.1114e+02  2.7470e+01   7.6862 8.238e-14 ***      
                time2012       2.1374e+02  2.7245e+01   7.8450 2.697e-14 ***      
                time2013       1.8084e+02  2.7323e+01   6.6187 9.456e-11 ***      
                time2014       1.4821e+02  2.7404e+01   5.4084 9.925e-08 ***      
                time2015       1.1923e+02  2.7487e+01   4.3378 1.745e-05 ***      
                time2016       1.1957e+02  2.7776e+01   4.3050 2.015e-05 ***      
                time2017       1.2210e+02  2.7845e+01   4.3850 1.418e-05 ***      
                time2018       1.2183e+02  2.7914e+01   4.3644 1.554e-05 ***      
                time2019       9.1441e+01  2.7980e+01   3.2681 0.0011581 **       
                iis172         6.4907e+02  1.0251e+02   6.3320 5.442e-10 ***      
                iis173         1.0964e+03  1.0263e+02  10.6840 < 2.2e-16 ***      
                iis174         1.5207e+03  1.0274e+02  14.8022 < 2.2e-16 ***      
                iis175         1.6424e+03  1.0283e+02  15.9718 < 2.2e-16 ***      
                iis192         5.2614e+02  9.7609e+01   5.3902 1.092e-07 ***      
                iis399        -1.0554e+03  1.0794e+02  -9.7771 < 2.2e-16 ***      
                iis400        -1.0255e+03  1.0792e+02  -9.5023 < 2.2e-16 ***      
                iis401        -9.6916e+02  1.0782e+02  -8.9889 < 2.2e-16 ***      
                iis402        -7.9131e+02  1.0782e+02  -7.3393 8.894e-13 ***      
                iis403        -3.6594e+02  1.0783e+02  -3.3939 0.0007446 ***      
                iis414         1.2917e+03  1.3209e+02   9.7787 < 2.2e-16 ***      
                iis415         1.7527e+03  1.3219e+02  13.2588 < 2.2e-16 ***      
                iis416         1.2564e+03  1.3210e+02   9.5109 < 2.2e-16 ***      
                iis417         7.4261e+02  1.3209e+02   5.6218 3.164e-08 ***      
                iis418         7.8197e+02  1.3209e+02   5.9200 6.031e-09 ***      
                iis419         5.4760e+02  1.3209e+02   4.1458 3.985e-05 ***      
                iis420         6.1625e+02  1.3214e+02   4.6636 4.004e-06 ***      
                iis421         7.8606e+02  1.3214e+02   5.9487 5.121e-09 ***      
                iis422         7.5844e+02  1.3214e+02   5.7397 1.656e-08 ***      
                iis574        -7.3478e+02  1.0449e+02  -7.0318 6.821e-12 ***      
                iis575        -7.7697e+02  1.0449e+02  -7.4360 4.619e-13 ***      
                iis576        -6.7244e+02  1.0439e+02  -6.4416 2.809e-10 ***      
                iis577        -5.9173e+02  1.0438e+02  -5.6689 2.447e-08 ***      
                iis578        -4.7671e+02  1.0438e+02  -4.5670 6.255e-06 ***      
                iis579        -3.1038e+02  1.0427e+02  -2.9767 0.0030570 **       
                iis585         3.9372e+02  1.3188e+02   2.9855 0.0029713 **       
                iis586         8.5752e+02  1.3198e+02   6.4971 2.002e-10 ***      
                iis587         1.2950e+03  1.3201e+02   9.8099 < 2.2e-16 ***      
                iis588         1.5893e+03  1.3201e+02  12.0393 < 2.2e-16 ***      
                iis589         1.7685e+03  1.3217e+02  13.3804 < 2.2e-16 ***      
                iis590         1.7213e+03  1.3231e+02  13.0100 < 2.2e-16 ***      
                iis591         1.6145e+03  1.3225e+02  12.2078 < 2.2e-16 ***      
                iis592         1.6559e+03  1.3226e+02  12.5198 < 2.2e-16 ***      
                iis593         1.1125e+03  1.3228e+02   8.4102 4.423e-16 ***      
                iis594         1.0812e+03  1.3229e+02   8.1729 2.549e-15 ***      
                iis595         9.7013e+02  1.3237e+02   7.3287 9.550e-13 ***      
                iis596         7.8890e+02  1.3239e+02   5.9588 4.836e-09 ***      
                iis597         7.5272e+02  1.3241e+02   5.6849 2.241e-08 ***      
                iis598         6.6152e+02  1.3242e+02   4.9956 8.152e-07 ***      
                fesisBEL.2008 -1.1516e+02  3.8045e+01  -3.0270 0.0025990 **       
                fesisBRA.2008 -1.4184e+02  3.8255e+01  -3.7078 0.0002327 ***      
                fesisCHN.2011  5.0136e+02  5.2258e+01   9.5939 < 2.2e-16 ***      
                fesisDEU.2007  6.1230e+02  9.7267e+01   6.2950 6.791e-10 ***      
                fesisDEU.2008  2.1280e+02  9.7633e+01   2.1796 0.0297614 *        
                fesisFIN.2007 -1.1776e+02  3.8040e+01  -3.0957 0.0020750 **       
                fesisIND.2010 -1.6711e+02  6.5988e+01  -2.5324 0.0116375 *        
                fesisJPN.2003  5.8856e+02  6.4446e+01   9.1326 < 2.2e-16 ***      
                fesisJPN.2010  5.6916e+02  9.9999e+01   5.6917 2.159e-08 ***      
                fesisKOR.2000 -4.8336e+02  6.5242e+01  -7.4086 5.565e-13 ***      
                fesisNOR.2008 -1.3696e+02  3.8046e+01  -3.5998 0.0003506 ***      
                fesisRUS.2007 -2.2520e+02  3.8025e+01  -5.9223 5.950e-09 ***      
                fesisSGP.2007 -1.1964e+02  3.8026e+01  -3.1464 0.0017528 **       
                fesisSWE.2008 -1.2671e+02  3.8042e+01  -3.3307 0.0009311 ***      
                fesisUSA.2005  2.8768e+02  1.0427e+02   2.7590 0.0060130 **       
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)   162.135  1 < 2.2e-16 ***      
                Ljung-Box ARCH(1)  65.135  1 6.661e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    91.28674      
                R-squared            0.99057      
                Log-lik.(n=598)  -3495.90057      

1

0.01

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 11:03:49 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 574       
                Sample: 1 to 574       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            9.6759e-01  6.7391e-03 143.5786 < 2.2e-16 ***      
                gdp           -1.1855e-13  1.0629e-13  -1.1154 0.2652266          
                pop            1.3171e-07  7.1410e-08   1.8444 0.0657245 .        
                idAUT          3.9822e+00  1.1548e+01   0.3448 0.7303564          
                idBEL         -1.6896e+00  1.1538e+01  -0.1464 0.8836355          
                idBRA         -2.6233e+01  1.6636e+01  -1.5769 0.1154547          
                idCAN          4.3994e+00  1.1569e+01   0.3803 0.7039075          
                idCHE          1.4179e+00  1.1552e+01   0.1227 0.9023626          
                idCHN         -1.0832e+02  9.1405e+01  -1.1850 0.2365703          
                idDEU          6.2315e+01  1.5939e+01   3.9097 0.0001053 ***      
                idDNK          1.1907e+01  1.1582e+01   1.0281 0.3044121          
                idESP         -2.8523e+00  1.1633e+01  -0.2452 0.8064017          
                idFIN         -1.0729e+00  1.1568e+01  -0.0927 0.9261462          
                idFRA          1.5260e+01  1.2043e+01   1.2671 0.2057180          
                idGBR          8.8844e+00  1.1946e+01   0.7437 0.4573908          
                idIND         -1.4396e+02  8.1876e+01  -1.7582 0.0793279 .        
                idISR         -7.7672e-01  1.1832e+01  -0.0656 0.9476857          
                idITA         -2.0604e+00  1.1823e+01  -0.1743 0.8617229          
                idJPN          2.1847e+02  5.2289e+01   4.1782 3.475e-05 ***      
                idKOR          1.2364e+02  9.1371e+01   1.3532 0.1766124          
                idNLD          2.0313e+00  1.1519e+01   0.1763 0.8601011          
                idNOR         -4.2498e-02  1.1585e+01  -0.0037 0.9970745          
                idRUS         -1.0775e+01  1.4724e+01  -0.7318 0.4646291          
                idSGP         -1.5498e+00  1.1575e+01  -0.1339 0.8935441          
                idSWE          2.4309e-01  1.1554e+01   0.0210 0.9832223          
                idUSA          9.6546e+01  2.5994e+01   3.7141 0.0002272 ***      
                time1996      -1.2692e+01  1.1630e+01  -1.0913 0.2756644          
                time1997      -8.3358e+00  1.1616e+01  -0.7176 0.4733181          
                time1998      -1.0489e+00  1.1508e+01  -0.0911 0.9274147          
                time1999       3.7811e-01  1.1577e+01   0.0327 0.9739578          
                time2000       6.0036e+00  1.1569e+01   0.5189 0.6040440          
                time2001       5.8447e+00  1.1458e+01   0.5101 0.6102226          
                time2002      -4.2195e+00  1.1462e+01  -0.3681 0.7129423          
                time2003      -5.6176e+00  1.1534e+01  -0.4870 0.6264474          
                time2004       1.0701e+01  1.1516e+01   0.9292 0.3532461          
                time2005       1.9120e+01  1.1510e+01   1.6611 0.0973357 .        
                time2006       5.1362e+00  1.1629e+01   0.4417 0.6589200          
                time2007       3.3125e+01  1.1650e+01   2.8433 0.0046496 **       
                time2008       2.1342e+01  1.1675e+01   1.8280 0.0681512 .        
                time2009       2.6572e+01  1.1962e+01   2.2213 0.0267816 *        
                time2010       3.3348e+01  1.1825e+01   2.8201 0.0049940 **       
                time2011       4.7464e+00  1.1873e+01   0.3998 0.6895066          
                time2012      -2.9718e+01  1.1898e+01  -2.4976 0.0128270 *        
                time2013      -1.8122e+01  1.1983e+01  -1.5124 0.1310808          
                time2014      -1.2424e+01  1.1940e+01  -1.0405 0.2986219          
                time2015      -8.8470e+00  1.1932e+01  -0.7414 0.4587786          
                time2016       3.8079e-02  1.1914e+01   0.0032 0.9974511          
                time2017       1.9782e+01  1.1921e+01   1.6594 0.0976732 .        
                time2018       8.1890e+00  1.1876e+01   0.6896 0.4907927          
                time2019      -2.3456e+01  1.1992e+01  -1.9560 0.0510293 .        
                iis165         4.4776e+02  4.2267e+01  10.5937 < 2.2e-16 ***      
                iis166         4.2670e+02  4.2727e+01   9.9866 < 2.2e-16 ***      
                iis167         4.2816e+02  4.3337e+01   9.8797 < 2.2e-16 ***      
                iis168         1.4063e+02  4.4284e+01   3.1757 0.0015882 **       
                iis186        -3.8531e+02  4.3686e+01  -8.8201 < 2.2e-16 ***      
                iis386         2.7752e+02  4.3002e+01   6.4537 2.610e-10 ***      
                iis387         2.3353e+02  4.2534e+01   5.4904 6.423e-08 ***      
                iis396         5.4368e+02  4.2241e+01  12.8710 < 2.2e-16 ***      
                iis397         1.2374e+03  4.2358e+01  29.2131 < 2.2e-16 ***      
                iis398         4.1547e+02  4.4151e+01   9.4102 < 2.2e-16 ***      
                iis399        -4.4657e+02  4.5024e+01  -9.9186 < 2.2e-16 ***      
                iis400        -5.1557e+02  4.4064e+01 -11.7006 < 2.2e-16 ***      
                iis402        -2.6278e+02  4.3366e+01  -6.0597 2.707e-09 ***      
                iis406        -8.0155e+02  4.3516e+01 -18.4199 < 2.2e-16 ***      
                iis420         2.1674e+02  4.8572e+01   4.4622 1.006e-05 ***      
                iis425        -6.7321e+02  5.8753e+01 -11.4584 < 2.2e-16 ***      
                iis426        -6.3737e+02  5.7963e+01 -10.9961 < 2.2e-16 ***      
                iis428        -1.4261e+02  5.0545e+01  -2.8214 0.0049738 **       
                iis561         3.1736e+02  4.2183e+01   7.5234 2.542e-13 ***      
                iis562         3.9950e+02  4.2269e+01   9.4513 < 2.2e-16 ***      
                iis563         4.1280e+02  4.2567e+01   9.6978 < 2.2e-16 ***      
                iis564         3.1956e+02  4.3132e+01   7.4090 5.551e-13 ***      
                iis569        -4.3760e+02  4.4931e+01  -9.7393 < 2.2e-16 ***      
                fesisDEU.2007  1.9816e+02  2.2597e+01   8.7693 < 2.2e-16 ***      
                fesisDEU.2012 -2.5918e+02  2.3913e+01 -10.8386 < 2.2e-16 ***      
                fesisKOR.2003  1.6577e+02  4.1907e+01   3.9556 8.750e-05 ***      
                fesisKOR.2009  2.2407e+02  4.1029e+01   5.4613 7.499e-08 ***      
                fesisKOR.2014  1.5161e+02  5.0627e+01   2.9947 0.0028848 **       
                fesisKOR.2017 -3.6402e+02  5.1605e+01  -7.0541 5.898e-12 ***      
                fesisUSA.2014 -1.5138e+02  2.2188e+01  -6.8229 2.619e-11 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    2.4762  1    0.1156          
                Ljung-Box ARCH(1) 32.7150  1 1.067e-08 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    39.88288      
                R-squared            0.99819      
                Log-lik.(n=574)  -2890.20445      
0.05

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 11:03:45 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 574       
                Sample: 1 to 574       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            8.9964e-01  1.5111e-02  59.5369 < 2.2e-16 ***      
                gdp           -7.2234e-14  9.8515e-14  -0.7332 0.4637741          
                pop            5.1985e-08  6.5725e-08   0.7909 0.4293601          
                idAUT          2.9727e+00  1.0290e+01   0.2889 0.7727852          
                idBEL         -4.6326e+00  1.0291e+01  -0.4502 0.6527933          
                idBRA         -1.6690e+01  1.5065e+01  -1.1079 0.2684407          
                idCAN          1.2662e+01  1.0423e+01   1.2148 0.2250367          
                idCHE          1.1530e+00  1.0295e+01   0.1120 0.9108670          
                idCHN         -4.3687e+01  8.2949e+01  -0.5267 0.5986632          
                idDEU          1.0084e+02  1.5948e+01   6.3231 5.814e-10 ***      
                idDNK          1.6563e+01  1.0384e+01   1.5950 0.1113558          
                idESP          1.8001e-01  1.0376e+01   0.0173 0.9861651          
                idFIN         -4.4356e+00  1.0320e+01  -0.4298 0.6675367          
                idFRA          3.5831e+01  1.1361e+01   3.1538 0.0017115 **       
                idGBR          2.4294e+01  1.0986e+01   2.2113 0.0274778 *        
                idIND         -5.4292e+01  7.5260e+01  -0.7214 0.4710155          
                idISR         -2.6239e+00  1.0547e+01  -0.2488 0.8036291          
                idITA          4.0444e+00  1.0580e+01   0.3823 0.7024196          
                idJPN          2.0068e+02  5.1126e+01   3.9251 9.920e-05 ***      
                idKOR          9.2818e+01  8.4279e+01   1.1013 0.2713014          
                idNLD          3.4631e+00  1.0269e+01   0.3372 0.7360869          
                idNOR         -4.1014e+00  1.0344e+01  -0.3965 0.6919155          
                idRUS         -6.1957e+00  1.3314e+01  -0.4654 0.6418736          
                idSGP         -5.9357e+00  1.0338e+01  -0.5742 0.5661235          
                idSWE         -1.0785e+00  1.0297e+01  -0.1047 0.9166256          
                idUSA          1.8145e+02  2.6223e+01   6.9194 1.437e-11 ***      
                time1996      -9.7789e+00  1.0400e+01  -0.9403 0.3475491          
                time1997      -4.8795e+00  1.0387e+01  -0.4698 0.6387395          
                time1998      -2.1075e+00  1.0286e+01  -0.2049 0.8377375          
                time1999       2.3443e+00  1.0327e+01   0.2270 0.8205108          
                time2000       8.8408e+00  1.0322e+01   0.8565 0.3921314          
                time2001       1.0208e+01  1.0237e+01   0.9972 0.3191653          
                time2002       1.5897e+00  1.0254e+01   0.1550 0.8768616          
                time2003      -7.0387e+00  1.0424e+01  -0.6752 0.4998434          
                time2004       1.7708e+01  1.0328e+01   1.7145 0.0870787 .        
                time2005       2.8248e+01  1.0367e+01   2.7248 0.0066660 **       
                time2006       1.5339e+01  1.0480e+01   1.4637 0.1439233          
                time2007       3.4593e+01  1.0537e+01   3.2831 0.0011006 **       
                time2008       3.4014e+01  1.0562e+01   3.2204 0.0013657 **       
                time2009       3.2798e+01  1.0766e+01   3.0465 0.0024414 **       
                time2010       4.1547e+01  1.0659e+01   3.8979 0.0001107 ***      
                time2011       1.6871e+01  1.0840e+01   1.5563 0.1202830          
                time2012      -1.5865e+01  1.0936e+01  -1.4507 0.1474951          
                time2013      -6.7585e+00  1.0890e+01  -0.6206 0.5351330          
                time2014      -4.8730e+00  1.0811e+01  -0.4507 0.6523840          
                time2015      -2.6240e-01  1.0791e+01  -0.0243 0.9806100          
                time2016       7.1266e+00  1.0717e+01   0.6650 0.5063692          
                time2017       2.6684e+01  1.0717e+01   2.4898 0.0131138 *        
                time2018       1.3159e+01  1.0760e+01   1.2229 0.2219708          
                time2019      -1.0840e+01  1.0860e+01  -0.9982 0.3186802          
                iis165         4.2266e+02  3.9080e+01  10.8154 < 2.2e-16 ***      
                iis166         4.3479e+02  4.0839e+01  10.6463 < 2.2e-16 ***      
                iis167         4.6992e+02  4.3475e+01  10.8090 < 2.2e-16 ***      
                iis168         2.0468e+02  4.6890e+01   4.3651 1.553e-05 ***      
                iis186        -3.5813e+02  3.9330e+01  -9.1056 < 2.2e-16 ***      
                iis386         2.3323e+02  4.1162e+01   5.6660 2.507e-08 ***      
                iis387         2.1616e+02  3.9761e+01   5.4366 8.612e-08 ***      
                iis390         1.7715e+02  3.9209e+01   4.5181 7.843e-06 ***      
                iis394         1.7159e+02  4.0090e+01   4.2801 2.251e-05 ***      
                iis396         4.2470e+02  4.5206e+01   9.3949 < 2.2e-16 ***      
                iis397         1.1601e+03  4.1947e+01  27.6554 < 2.2e-16 ***      
                iis398         4.2467e+02  4.1796e+01  10.1607 < 2.2e-16 ***      
                iis399        -4.0965e+02  4.3516e+01  -9.4139 < 2.2e-16 ***      
                iis400        -5.0882e+02  4.1592e+01 -12.2335 < 2.2e-16 ***      
                iis402        -2.8807e+02  4.0652e+01  -7.0862 4.874e-12 ***      
                iis406        -8.3005e+02  4.0700e+01 -20.3943 < 2.2e-16 ***      
                iis420         1.5783e+02  4.4690e+01   3.5316 0.0004524 ***      
                iis425        -6.3236e+02  5.3099e+01 -11.9089 < 2.2e-16 ***      
                iis426        -6.1960e+02  5.1796e+01 -11.9624 < 2.2e-16 ***      
                iis428        -4.8187e+02  5.1838e+01  -9.2958 < 2.2e-16 ***      
                iis429        -2.7882e+02  5.2338e+01  -5.3272 1.528e-07 ***      
                iis430        -4.1872e+02  5.3249e+01  -7.8635 2.433e-14 ***      
                iis561         2.0339e+02  4.8807e+01   4.1673 3.649e-05 ***      
                iis562         3.2199e+02  4.5409e+01   7.0908 4.727e-12 ***      
                iis563         3.5843e+02  4.2666e+01   8.4009 4.912e-16 ***      
                iis564         3.0502e+02  4.1135e+01   7.4151 5.447e-13 ***      
                iis569        -3.8543e+02  4.1320e+01  -9.3279 < 2.2e-16 ***      
                fesisCHN.2008  1.3237e+02  1.8529e+01   7.1440 3.335e-12 ***      
                fesisDEU.2007  2.5753e+02  2.3438e+01  10.9877 < 2.2e-16 ***      
                fesisDEU.2012 -2.5546e+02  2.1329e+01 -11.9771 < 2.2e-16 ***      
                fesisJPN.1998  1.3157e+02  3.3925e+01   3.8782 0.0001197 ***      
                fesisJPN.2008 -1.3031e+02  4.0849e+01  -3.1899 0.0015149 **       
                fesisJPN.2009  3.1027e+02  4.4507e+01   6.9712 1.030e-11 ***      
                fesisKOR.2003  1.8025e+02  3.7912e+01   4.7545 2.625e-06 ***      
                fesisKOR.2009  3.0945e+02  3.9641e+01   7.8062 3.647e-14 ***      
                fesisKOR.2014  1.5011e+02  4.5427e+01   3.3044 0.0010222 **       
                fesisUSA.2006  1.5019e+02  4.2243e+01   3.5555 0.0004142 ***      
                fesisUSA.2014 -1.9019e+02  2.6958e+01  -7.0550 5.974e-12 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    1.5355  1    0.2153          
                Ljung-Box ARCH(1) 26.5062  1 2.627e-07 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    35.53204      
                R-squared            0.99858      
                Log-lik.(n=574)  -2819.90034      

Log Count

0

0.01

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 11:04:05 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 598       
                Sample: 1 to 598       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error   t-stat   p-value          
                lgdp            1.464873   0.114764  12.7642 < 2.2e-16 ***      
                lpop            0.062853   0.381703   0.1647 0.8692716          
                idAUT           2.031811   0.305895   6.6422 7.714e-11 ***      
                idBEL           1.122614   0.226321   4.9603 9.512e-07 ***      
                idBRA          -3.718293   0.806579  -4.6100 5.059e-06 ***      
                idCAN           0.621089   0.187749   3.3081 0.0010035 **       
                idCHE           1.737034   0.352710   4.9248 1.132e-06 ***      
                idCHN          -4.486761   1.482841  -3.0258 0.0026010 **       
                idDEU           1.398292   0.509662   2.7436 0.0062846 **       
                idDNK          -0.431501   0.517854  -0.8332 0.4050817          
                idESP          -0.318024   0.318260  -0.9993 0.3181272          
                idFIN           2.128619   0.455060   4.6777 3.692e-06 ***      
                idFRA           0.635447   0.427498   1.4864 0.1377631          
                idGBR           0.668144   0.423758   1.5767 0.1154618          
                idIND          -7.284294   1.379713  -5.2796 1.896e-07 ***      
                idISR           0.413758   0.395761   1.0455 0.2962826          
                idITA          -0.318738   0.407802  -0.7816 0.4348000          
                idJPN          -5.215317   0.717976  -7.2639 1.361e-12 ***      
                idKOR          -8.397825   0.675135 -12.4387 < 2.2e-16 ***      
                idNLD           1.281825   0.110706  11.5787 < 2.2e-16 ***      
                idNOR          -1.871784   0.592705  -3.1580 0.0016794 **       
                idRUS          -6.109829   0.691771  -8.8322 < 2.2e-16 ***      
                idSGP           0.349770   0.548397   0.6378 0.5238776          
                idSWE          -0.751063   0.365866  -2.0528 0.0405819 *        
                idUSA          -0.616628   0.937266  -0.6579 0.5108892          
                time1995      -38.662702   5.657762  -6.8336 2.295e-11 ***      
                time1996      -38.497357   5.660829  -6.8007 2.833e-11 ***      
                time1997      -38.375720   5.662003  -6.7778 3.278e-11 ***      
                time1998      -38.270124   5.664366  -6.7563 3.757e-11 ***      
                time1999      -38.157060   5.666650  -6.7336 4.338e-11 ***      
                time2000      -38.093259   5.669189  -6.7193 4.747e-11 ***      
                time2001      -38.036262   5.669968  -6.7084 5.088e-11 ***      
                time2002      -38.037880   5.672183  -6.7060 5.164e-11 ***      
                time2003      -37.928163   5.671978  -6.6869 5.824e-11 ***      
                time2004      -37.845145   5.674414  -6.6694 6.502e-11 ***      
                time2005      -37.745019   5.675724  -6.6503 7.334e-11 ***      
                time2006      -37.639503   5.679002  -6.6278 8.439e-11 ***      
                time2007      -37.406472   5.683055  -6.5821 1.122e-10 ***      
                time2008      -37.204809   5.686447  -6.5427 1.433e-10 ***      
                time2009      -36.982819   5.687382  -6.5026 1.835e-10 ***      
                time2010      -36.955801   5.687966  -6.4972 1.897e-10 ***      
                time2011      -36.937536   5.690378  -6.4912 1.968e-10 ***      
                time2012      -37.034503   5.692981  -6.5053 1.805e-10 ***      
                time2013      -37.200039   5.693823  -6.5334 1.518e-10 ***      
                time2014      -37.296685   5.696399  -6.5474 1.392e-10 ***      
                time2015      -37.411680   5.698904  -6.5647 1.250e-10 ***      
                time2016      -37.423591   5.701452  -6.5639 1.257e-10 ***      
                time2017      -37.410482   5.703705  -6.5590 1.295e-10 ***      
                time2018      -37.419599   5.705843  -6.5581 1.302e-10 ***      
                time2019      -37.576926   5.707849  -6.5834 1.113e-10 ***      
                iis203         -0.997328   0.215524  -4.6274 4.666e-06 ***      
                iis251          0.987314   0.211618   4.6655 3.908e-06 ***      
                iis526         -0.818193   0.220708  -3.7071 0.0002318 ***      
                fesisAUS.2009  -0.551472   0.092556  -5.9582 4.667e-09 ***      
                fesisBRA.2005   1.043397   0.123489   8.4493 2.871e-16 ***      
                fesisBRA.2009  -0.561166   0.120999  -4.6378 4.447e-06 ***      
                fesisCAN.2007  -0.431693   0.085829  -5.0297 6.747e-07 ***      
                fesisCHE.2003  -0.561157   0.090556  -6.1968 1.163e-09 ***      
                fesisCHN.2002   0.633347   0.128419   4.9319 1.093e-06 ***      
                fesisCHN.2016   0.715988   0.134605   5.3192 1.544e-07 ***      
                fesisDNK.2007   0.802066   0.086349   9.2886 < 2.2e-16 ***      
                fesisESP.2005   0.807390   0.087563   9.2206 < 2.2e-16 ***      
                fesisIND.2001   0.758263   0.112563   6.7364 4.263e-11 ***      
                fesisISR.2010  -0.373228   0.101625  -3.6726 0.0002646 ***      
                fesisITA.2006   0.355056   0.087204   4.0716 5.387e-05 ***      
                fesisKOR.2004   0.691904   0.111529   6.2038 1.116e-09 ***      
                fesisKOR.2010   0.345097   0.108291   3.1867 0.0015241 **       
                fesisRUS.2007  -0.748902   0.098841  -7.5768 1.602e-13 ***      
                fesisSGP.2003   0.839007   0.111842   7.5017 2.695e-13 ***      
                fesisSGP.2013  -0.416089   0.110303  -3.7722 0.0001801 ***      
                fesisSWE.2002  -0.997419   0.093265 -10.6945 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   40.597  1 1.871e-10 ***      
                Ljung-Box ARCH(1) 22.889  1 1.717e-06 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.20174      
                R-squared          0.98670      
                Log-lik.(n=598)  144.23759      
0.05

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 11:03:55 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 598       
                Sample: 1 to 598       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error   t-stat   p-value          
                lgdp            1.588201   0.113165  14.0344 < 2.2e-16 ***      
                lpop           -0.199521   0.370478  -0.5386 0.5904354          
                idAUT           1.984518   0.307425   6.4553 2.546e-10 ***      
                idBEL           1.156108   0.228243   5.0652 5.736e-07 ***      
                idBRA          -3.185188   0.789972  -4.0320 6.387e-05 ***      
                idCAN           0.717239   0.179992   3.9848 7.752e-05 ***      
                idCHE           1.579215   0.347004   4.5510 6.702e-06 ***      
                idCHN          -3.708188   1.460171  -2.5396 0.0113992 *        
                idDEU           1.682837   0.500682   3.3611 0.0008354 ***      
                idDNK          -0.770118   0.499414  -1.5420 0.1236919          
                idESP          -0.033999   0.305254  -0.1114 0.9113607          
                idFIN           2.021931   0.456768   4.4266 1.175e-05 ***      
                idFRA           0.803790   0.417942   1.9232 0.0550181 .        
                idGBR           0.938212   0.412989   2.2718 0.0235224 *        
                idIND          -6.221547   1.377214  -4.5175 7.806e-06 ***      
                idISR           0.202490   0.386509   0.5239 0.6005831          
                idITA          -0.075825   0.396441  -0.1913 0.8483953          
                idJPN          -5.459481   0.749081  -7.2882 1.224e-12 ***      
                idKOR          -8.931270   0.692685 -12.8937 < 2.2e-16 ***      
                idNLD           1.326194   0.107335  12.3556 < 2.2e-16 ***      
                idNOR          -2.216591   0.576158  -3.8472 0.0001348 ***      
                idRUS          -6.095079   0.704776  -8.6483 < 2.2e-16 ***      
                idSGP           0.292592   0.546149   0.5357 0.5923771          
                idSWE          -1.946853   0.355575  -5.4752 6.909e-08 ***      
                idUSA          -0.206021   0.931620  -0.2211 0.8250711          
                time1995      -37.645796   5.748850  -6.5484 1.438e-10 ***      
                time1996      -37.478560   5.749462  -6.5186 1.728e-10 ***      
                time1997      -37.440719   5.750868  -6.5104 1.817e-10 ***      
                time1998      -37.351536   5.753175  -6.4923 2.030e-10 ***      
                time1999      -37.182225   5.756254  -6.4594 2.482e-10 ***      
                time2000      -37.106921   5.759123  -6.4432 2.742e-10 ***      
                time2001      -37.054851   5.762033  -6.4309 2.954e-10 ***      
                time2002      -37.032725   5.763436  -6.4255 3.053e-10 ***      
                time2003      -36.952601   5.764869  -6.4100 3.354e-10 ***      
                time2004      -36.887537   5.765886  -6.3975 3.616e-10 ***      
                time2005      -36.785914   5.767407  -6.3782 4.064e-10 ***      
                time2006      -36.684629   5.770966  -6.3568 4.626e-10 ***      
                time2007      -36.454062   5.774819  -6.3126 6.032e-10 ***      
                time2008      -36.270277   5.776279  -6.2792 7.365e-10 ***      
                time2009      -36.040379   5.776613  -6.2390 9.352e-10 ***      
                time2010      -36.006118   5.776784  -6.2329 9.697e-10 ***      
                time2011      -35.989500   5.779394  -6.2272 1.003e-09 ***      
                time2012      -36.098652   5.781148  -6.2442 9.068e-10 ***      
                time2013      -36.238319   5.783133  -6.2662 7.956e-10 ***      
                time2014      -36.335767   5.785847  -6.2801 7.324e-10 ***      
                time2015      -36.482935   5.788446  -6.3027 6.399e-10 ***      
                time2016      -36.442636   5.789833  -6.2942 6.731e-10 ***      
                time2017      -36.431342   5.792292  -6.2896 6.920e-10 ***      
                time2018      -36.441919   5.794605  -6.2889 6.948e-10 ***      
                time2019      -36.600085   5.796734  -6.3139 5.984e-10 ***      
                iis52          -0.872196   0.181710  -4.7999 2.096e-06 ***      
                iis77          -0.603476   0.187852  -3.2125 0.0014001 **       
                iis96           0.757401   0.185581   4.0812 5.209e-05 ***      
                iis202         -0.554596   0.186489  -2.9739 0.0030817 **       
                iis203         -0.999246   0.186019  -5.3717 1.194e-07 ***      
                iis233         -0.501776   0.186829  -2.6857 0.0074760 **       
                iis243          0.383653   0.183529   2.0904 0.0370815 *        
                iis251          0.966648   0.182490   5.2970 1.764e-07 ***      
                iis326         -0.797796   0.193466  -4.1237 4.362e-05 ***      
                iis330         -0.702562   0.191317  -3.6722 0.0002662 ***      
                iis331         -0.888158   0.191332  -4.6420 4.409e-06 ***      
                iis424         -0.468821   0.189127  -2.4789 0.0135070 *        
                iis502          0.596737   0.186748   3.1954 0.0014840 **       
                iis524         -0.479725   0.197548  -2.4284 0.0155150 *        
                iis526         -0.911305   0.194505  -4.6852 3.604e-06 ***      
                iis531         -0.493510   0.194521  -2.5370 0.0114802 *        
                iis549          1.071263   0.189365   5.6571 2.586e-08 ***      
                iis550          1.249131   0.189168   6.6033 1.024e-10 ***      
                iis551          1.189835   0.188658   6.3068 6.243e-10 ***      
                iis552          0.865611   0.188366   4.5954 5.469e-06 ***      
                iis553          0.734903   0.188200   3.9049 0.0001071 ***      
                iis554          0.542370   0.188160   2.8825 0.0041142 **       
                iis555          0.513700   0.187999   2.7325 0.0065074 **       
                fesisAUS.2009  -0.537068   0.083913  -6.4003 3.557e-10 ***      
                fesisBRA.2005   1.004402   0.107841   9.3138 < 2.2e-16 ***      
                fesisBRA.2009  -0.643278   0.105899  -6.0745 2.456e-09 ***      
                fesisCAN.2007  -0.414072   0.075347  -5.4955 6.200e-08 ***      
                fesisCHE.2003  -0.541727   0.078437  -6.9065 1.505e-11 ***      
                fesisCHN.2002   0.551687   0.117895   4.6795 3.703e-06 ***      
                fesisCHN.2016   0.615858   0.120858   5.0957 4.924e-07 ***      
                fesisDNK.2007   0.768550   0.076306  10.0719 < 2.2e-16 ***      
                fesisESP.2005   0.753578   0.079480   9.4813 < 2.2e-16 ***      
                fesisFRA.2012   0.276722   0.077383   3.5760 0.0003826 ***      
                fesisIND.2004   0.411514   0.101883   4.0391 6.204e-05 ***      
                fesisIND.2016  -0.415947   0.111325  -3.7363 0.0002081 ***      
                fesisISR.2010  -0.368669   0.093677  -3.9355 9.469e-05 ***      
                fesisITA.2006   0.380272   0.075793   5.0172 7.283e-07 ***      
                fesisKOR.2004   0.633535   0.098472   6.4337 2.904e-10 ***      
                fesisKOR.2010   0.312192   0.093678   3.3326 0.0009238 ***      
                fesisNOR.2012  -0.363723   0.080138  -4.5387 7.088e-06 ***      
                fesisRUS.2007  -0.745627   0.087252  -8.5457 < 2.2e-16 ***      
                fesisSGP.2003   0.500865   0.114735   4.3654 1.541e-05 ***      
                fesisSGP.2008   0.440689   0.122078   3.6099 0.0003370 ***      
                fesisSGP.2013  -0.659084   0.106457  -6.1911 1.242e-09 ***      
                fesisSWE.2010  -0.219572   0.085336  -2.5730 0.0103669 *        
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    6.4036  1   0.01139 *        
                Ljung-Box ARCH(1) 15.3238  1 9.057e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.17317      
                R-squared          0.99065      
                Log-lik.(n=598)  247.54958      

1

0.01

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 11:06:09 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 574       
                Sample: 1 to 574       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.609980  0.028142 21.6751 < 2.2e-16 ***      
                lgdp           0.849496  0.088901  9.5556 < 2.2e-16 ***      
                lpop          -1.429585  0.280919 -5.0890 5.094e-07 ***      
                idAUT         -0.028060  0.248608 -0.1129 0.9101790          
                idBEL         -0.043935  0.186919 -0.2350 0.8142682          
                idBRA          1.775365  0.585481  3.0323 0.0025521 **       
                idCAN          0.850208  0.137421  6.1869 1.273e-09 ***      
                idCHE         -0.617497  0.268267 -2.3018 0.0217543 *        
                idCHN          3.804786  1.082691  3.5142 0.0004809 ***      
                idDEU          2.435530  0.382689  6.3642 4.422e-10 ***      
                idDNK         -2.568810  0.410530 -6.2573 8.389e-10 ***      
                idESP          1.128135  0.222950  5.0600 5.887e-07 ***      
                idFIN         -0.542708  0.360126 -1.5070 0.1324399          
                idFRA          1.865227  0.313115  5.9570 4.831e-09 ***      
                idGBR          1.870874  0.308796  6.0586 2.693e-09 ***      
                idIND          2.478294  1.022896  2.4228 0.0157525 *        
                idISR         -1.214732  0.289457 -4.1966 3.204e-05 ***      
                idITA          1.499291  0.288102  5.2040 2.845e-07 ***      
                idJPN         -0.963526  0.526769 -1.8291 0.0679729 .        
                idKOR         -3.528411  0.511094 -6.9036 1.534e-11 ***      
                idNLD          0.458784  0.098938  4.6371 4.510e-06 ***      
                idNOR         -2.946545  0.453759 -6.4936 2.014e-10 ***      
                idRUS         -0.488275  0.524919 -0.9302 0.3527180          
                idSGP         -1.221405  0.437641 -2.7909 0.0054561 **       
                idSWE         -1.418885  0.291184 -4.8728 1.477e-06 ***      
                idUSA          3.049832  0.700675  4.3527 1.630e-05 ***      
                time1996       1.724578  4.356023  0.3959 0.6923419          
                time1997       1.646845  4.357171  0.3780 0.7056184          
                time1998       1.739828  4.356223  0.3994 0.6897761          
                time1999       1.828595  4.358111  0.4196 0.6749684          
                time2000       1.827803  4.359807  0.4192 0.6752201          
                time2001       1.863919  4.360008  0.4275 0.6691955          
                time2002       1.818994  4.361471  0.4171 0.6768126          
                time2003       1.897237  4.362419  0.4349 0.6638181          
                time2004       1.923811  4.364070  0.4408 0.6595258          
                time2005       2.012225  4.366145  0.4609 0.6450911          
                time2006       2.074907  4.368047  0.4750 0.6349793          
                time2007       2.196318  4.370765  0.5025 0.6155344          
                time2008       2.252033  4.372547  0.5150 0.6067519          
                time2009       2.288045  4.373795  0.5231 0.6011170          
                time2010       2.277549  4.374234  0.5207 0.6028231          
                time2011       2.270688  4.375955  0.5189 0.6040578          
                time2012       2.157866  4.377801  0.4929 0.6222906          
                time2013       2.042780  4.380022  0.4664 0.6411414          
                time2014       2.053047  4.382258  0.4685 0.6396367          
                time2015       2.000191  4.384426  0.4562 0.6484405          
                time2016       2.094818  4.386721  0.4775 0.6331878          
                time2017       2.143428  4.388476  0.4884 0.6254640          
                time2018       2.085130  4.390010  0.4750 0.6350133          
                time2019       1.931361  4.391538  0.4398 0.6602770          
                iis49         -0.674871  0.187475 -3.5998 0.0003500 ***      
                iis50          0.835758  0.188791  4.4269 1.173e-05 ***      
                iis56         -0.607720  0.186954 -3.2506 0.0012286 **       
                iis73         -0.823244  0.189214 -4.3509 1.643e-05 ***      
                iis94         -0.960361  0.199642 -4.8104 1.994e-06 ***      
                iis195         0.999354  0.199302  5.0143 7.391e-07 ***      
                iis223        -0.514022  0.196832 -2.6115 0.0092846 **       
                iis481         0.770856  0.191843  4.0182 6.762e-05 ***      
                iis504        -1.164766  0.204342 -5.7001 2.043e-08 ***      
                iis513        -1.054784  0.197206 -5.3487 1.348e-07 ***      
                fesisBRA.2014  0.319316  0.093464  3.4165 0.0006858 ***      
                fesisDNK.1998  0.402722  0.150038  2.6841 0.0075116 **       
                fesisDNK.2005  0.388272  0.090102  4.3093 1.971e-05 ***      
                fesisESP.2003  0.353057  0.090835  3.8868 0.0001152 ***      
                fesisIND.1998 -0.678543  0.167292 -4.0561 5.784e-05 ***      
                fesisIND.2001  0.609219  0.118136  5.1569 3.616e-07 ***      
                fesisRUS.2007 -0.473997  0.088653 -5.3467 1.362e-07 ***      
                fesisSGP.2001 -0.751834  0.159286 -4.7200 3.061e-06 ***      
                fesisSGP.2003  1.088337  0.149368  7.2863 1.240e-12 ***      
                fesisSGP.2010 -0.349288  0.100728 -3.4676 0.0005701 ***      
                fesisSWE.1998 -0.588271  0.139146 -4.2277 2.804e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)    3.215  1   0.07297 .        
                Ljung-Box ARCH(1) 21.944  1 2.808e-06 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.17819      
                R-squared          0.98929      
                Log-lik.(n=574)  211.13632      
0.05

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 11:06:06 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 574       
                Sample: 1 to 574       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.618349  0.025249 24.4899 < 2.2e-16 ***      
                lgdp           0.643548  0.088404  7.2796 1.382e-12 ***      
                lpop          -1.184915  0.285171 -4.1551 3.851e-05 ***      
                idAUT         -0.096022  0.247266 -0.3883 0.6979397          
                idBEL         -0.306130  0.201427 -1.5198 0.1292200          
                idBRA          1.443106  0.597143  2.4167 0.0160353 *        
                idCAN          0.763626  0.134367  5.6831 2.300e-08 ***      
                idCHE         -0.465298  0.279704 -1.6635 0.0968589 .        
                idCHN          3.429044  1.093462  3.1360 0.0018183 **       
                idDEU          2.210818  0.380123  5.8161 1.102e-08 ***      
                idDNK         -2.175041  0.410747 -5.2953 1.814e-07 ***      
                idESP          0.924918  0.225070  4.1095 4.665e-05 ***      
                idFIN         -0.613727  0.359457 -1.7074 0.0884010 .        
                idFRA          1.647969  0.312727  5.2697 2.070e-07 ***      
                idGBR          1.627920  0.308962  5.2690 2.078e-07 ***      
                idIND          2.242950  1.030148  2.1773 0.0299450 *        
                idISR         -1.123323  0.318756 -3.5241 0.0004657 ***      
                idITA          1.273553  0.290034  4.3910 1.389e-05 ***      
                idJPN         -0.229925  0.523701 -0.4390 0.6608311          
                idKOR         -2.366349  0.509955 -4.6403 4.497e-06 ***      
                idNLD          0.344168  0.093763  3.6706 0.0002692 ***      
                idNOR         -2.443680  0.457851 -5.3373 1.459e-07 ***      
                idRUS         -0.203617  0.520482 -0.3912 0.6958175          
                idSGP         -1.213061  0.435174 -2.7875 0.0055222 **       
                idSWE         -1.055543  0.290469 -3.6339 0.0003093 ***      
                idUSA          2.860394  0.700899  4.0810 5.252e-05 ***      
                time1996       3.303289  4.352262  0.7590 0.4482365          
                time1997       3.233899  4.352703  0.7430 0.4578681          
                time1998       3.369791  4.352479  0.7742 0.4391807          
                time1999       3.439180  4.354932  0.7897 0.4300816          
                time2000       3.425616  4.356035  0.7864 0.4320180          
                time2001       3.482679  4.356530  0.7994 0.4244455          
                time2002       3.396935  4.357566  0.7795 0.4360414          
                time2003       3.522030  4.358542  0.8081 0.4194483          
                time2004       3.528688  4.359740  0.8094 0.4186983          
                time2005       3.640378  4.361053  0.8347 0.4042760          
                time2006       3.644462  4.362568  0.8354 0.4039125          
                time2007       3.792774  4.365258  0.8689 0.3853618          
                time2008       3.832000  4.366302  0.8776 0.3805841          
                time2009       3.890679  4.367424  0.8908 0.3734619          
                time2010       3.880189  4.367638  0.8884 0.3747741          
                time2011       3.876693  4.369308  0.8873 0.3753866          
                time2012       3.764563  4.371144  0.8612 0.3895420          
                time2013       3.671107  4.373113  0.8395 0.4016230          
                time2014       3.679625  4.375822  0.8409 0.4008240          
                time2015       3.609482  4.378017  0.8245 0.4100910          
                time2016       3.717631  4.380324  0.8487 0.3964659          
                time2017       3.757589  4.381781  0.8575 0.3915708          
                time2018       3.693236  4.383198  0.8426 0.3998786          
                time2019       3.608580  4.384946  0.8229 0.4109473          
                iis27         -0.538129  0.161581 -3.3304 0.0009342 ***      
                iis49         -0.518824  0.183105 -2.8335 0.0047988 **       
                iis50          0.993616  0.184142  5.3959 1.074e-07 ***      
                iis56         -0.724295  0.163097 -4.4409 1.113e-05 ***      
                iis58         -0.583570  0.162544 -3.5902 0.0003645 ***      
                iis72         -0.630623  0.162581 -3.8788 0.0001196 ***      
                iis73         -0.828267  0.164896 -5.0230 7.193e-07 ***      
                iis76         -0.474923  0.162829 -2.9167 0.0037037 **       
                iis78         -0.550245  0.162633 -3.3833 0.0007748 ***      
                iis82          0.495932  0.162605  3.0499 0.0024158 **       
                iis83          0.521032  0.163223  3.1922 0.0015050 **       
                iis92          0.628354  0.162748  3.8609 0.0001285 ***      
                iis94         -0.660532  0.163129 -4.0492 5.994e-05 ***      
                iis95          0.521051  0.162609  3.2043 0.0014441 **       
                iis145        -0.630234  0.169053 -3.7280 0.0002161 ***      
                iis147        -0.420111  0.167181 -2.5129 0.0123012 *        
                iis195         0.975211  0.172772  5.6445 2.841e-08 ***      
                iis218        -0.349091  0.173264 -2.0148 0.0444850 *        
                iis223        -0.530064  0.172709 -3.0691 0.0022688 **       
                iis455         0.387637  0.162663  2.3831 0.0175582 *        
                iis472        -0.459610  0.161126 -2.8525 0.0045253 **       
                iis481         0.693494  0.166716  4.1597 3.776e-05 ***      
                iis498        -0.389638  0.164105 -2.3743 0.0179743 *        
                iis504        -1.145304  0.176988 -6.4711 2.409e-10 ***      
                iis508        -0.492617  0.224009 -2.1991 0.0283483 *        
                iis513        -0.950253  0.173208 -5.4862 6.663e-08 ***      
                iis515         0.366378  0.173576  2.1108 0.0353106 *        
                iis526        -0.452019  0.166116 -2.7211 0.0067432 **       
                fesisBEL.2001  0.242168  0.099711  2.4287 0.0155199 *        
                fesisCHE.2003 -0.601948  0.168610 -3.5701 0.0003929 ***      
                fesisCHE.2004  0.492018  0.163409  3.0110 0.0027417 **       
                fesisCHN.2015  0.247407  0.096392  2.5667 0.0105708 *        
                fesisDNK.1998  0.389464  0.129988  2.9962 0.0028758 **       
                fesisDNK.2005  0.383284  0.078033  4.9118 1.240e-06 ***      
                fesisESP.2003  0.295395  0.084558  3.4934 0.0005212 ***      
                fesisIND.1998 -0.695052  0.145006 -4.7933 2.193e-06 ***      
                fesisIND.2001  0.691568  0.104304  6.6303 9.054e-11 ***      
                fesisISR.2005 -0.371371  0.169502 -2.1910 0.0289361 *        
                fesisISR.2006  0.811417  0.182080  4.4564 1.039e-05 ***      
                fesisISR.2009 -0.386279  0.105126 -3.6744 0.0002653 ***      
                fesisRUS.2007 -0.369279  0.080079 -4.6114 5.139e-06 ***      
                fesisSGP.2001 -0.499754  0.176803 -2.8266 0.0049010 **       
                fesisSGP.2003  0.804126  0.173612  4.6317 4.678e-06 ***      
                fesisSGP.2010 -0.219512  0.096361 -2.2780 0.0231648 *        
                fesisSWE.1998 -0.565441  0.120865 -4.6783 3.769e-06 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df  p-value         
                Ljung-Box AR(1)   4.4709  1 0.034478 *       
                Ljung-Box ARCH(1) 9.9244  1 0.001631 **      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.15400      
                R-squared          0.99238      
                Log-lik.(n=574)  306.86261      

without IIS

Count

0

0.01

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 11:07:39 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 598       
                Sample: 1 to 598       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                gdp            2.9650e-12  8.8433e-14  33.5288 < 2.2e-16 ***      
                pop           -5.6194e-07  1.7914e-07  -3.1369 0.0018017 **       
                idAUT         -1.7912e+00  3.1711e+01  -0.0565 0.9549767          
                idBEL         -3.5269e+01  3.1682e+01  -1.1132 0.2661178          
                idBRA          3.1462e+01  4.3696e+01   0.7200 0.4718217          
                idCAN          1.1300e+02  3.1698e+01   3.5650 0.0003965 ***      
                idCHE          6.3967e+00  3.1719e+01   0.2017 0.8402542          
                idCHN          7.7340e+02  2.2897e+02   3.3777 0.0007843 ***      
                idDEU          5.8503e+02  4.1523e+01  14.0895 < 2.2e-16 ***      
                idDNK          8.0443e+01  3.1752e+01   2.5334 0.0115798 *        
                idESP          3.0357e+01  3.1890e+01   0.9519 0.3415718          
                idFIN         -3.7265e+01  3.1754e+01  -1.1735 0.2411058          
                idFRA          2.7971e+02  3.2528e+01   8.5991 < 2.2e-16 ***      
                idGBR          2.0444e+02  3.2449e+01   6.3002 6.219e-10 ***      
                idIND          4.3199e+02  2.1012e+02   2.0559 0.0402768 *        
                idISR         -2.2588e+01  3.2454e+01  -0.6960 0.4867434          
                idITA          6.6330e+01  3.2326e+01   2.0519 0.0406671 *        
                idJPN         -2.7360e+02  7.6232e+01  -3.5891 0.0003624 ***      
                idKOR         -2.1204e+03  8.6997e+01 -24.3729 < 2.2e-16 ***      
                idNLD          2.5892e+01  3.1639e+01   0.8184 0.4135070          
                idNOR         -5.2437e+01  3.1765e+01  -1.6508 0.0993692 .        
                idRUS         -6.2631e+01  4.6348e+01  -1.3513 0.1771620          
                idSGP         -5.2498e+01  3.1765e+01  -1.6527 0.0989737 .        
                idSWE         -1.7241e+01  3.1701e+01  -0.5439 0.5867550          
                idUSA          7.1837e+02  7.3202e+01   9.8135 < 2.2e-16 ***      
                time1995      -1.8383e+01  3.2262e+01  -0.5698 0.5690598          
                time1996      -1.8981e+01  3.2264e+01  -0.5883 0.5565936          
                time1997      -1.1192e+01  3.1914e+01  -0.3507 0.7259484          
                time1998       1.3313e+01  3.1928e+01   0.4170 0.6768776          
                time1999      -2.8911e+00  3.1933e+01  -0.0905 0.9278963          
                time2000       1.5391e+01  3.1973e+01   0.4814 0.6304493          
                time2001       3.1596e+01  3.1981e+01   0.9880 0.3236216          
                time2002       3.3403e+01  3.1986e+01   1.0443 0.2968138          
                time2003       1.5106e+01  3.1966e+01   0.4725 0.6367330          
                time2004       3.7895e+01  3.1978e+01   1.1850 0.2365279          
                time2005       5.4165e+01  3.2275e+01   1.6782 0.0938888 .        
                time2006       5.4625e+01  3.2112e+01   1.7011 0.0895142 .        
                time2007       8.9402e+01  3.2160e+01   2.7799 0.0056297 **       
                time2008       1.0375e+02  3.2065e+01   3.2357 0.0012885 **       
                time2009       2.0835e+02  3.2100e+01   6.4906 1.955e-10 ***      
                time2010       2.2033e+02  3.2209e+01   6.8405 2.167e-11 ***      
                time2011       2.2997e+02  3.2207e+01   7.1403 3.060e-12 ***      
                time2012       1.8585e+02  3.2245e+01   5.7638 1.392e-08 ***      
                time2013       1.6789e+02  3.2221e+01   5.2108 2.691e-07 ***      
                time2014       1.4388e+02  3.2260e+01   4.4601 9.994e-06 ***      
                time2015       1.0410e+02  3.2305e+01   3.2225 0.0013483 **       
                time2016       1.2999e+02  3.2354e+01   4.0176 6.723e-05 ***      
                time2017       9.4873e+01  3.2427e+01   2.9257 0.0035828 **       
                time2018       1.0982e+02  3.2477e+01   3.3815 0.0007736 ***      
                time2019       4.9314e+01  3.2521e+01   1.5164 0.1300170          
                fesisCHN.2011  6.6172e+02  5.6375e+01  11.7379 < 2.2e-16 ***      
                fesisCHN.2017  1.3447e+03  8.0979e+01  16.6051 < 2.2e-16 ***      
                fesisDEU.2007  8.8663e+02  4.6035e+01  19.2601 < 2.2e-16 ***      
                fesisJPN.1999  8.6394e+02  8.0882e+01  10.6815 < 2.2e-16 ***      
                fesisJPN.2003  6.9301e+02  7.1669e+01   9.6696 < 2.2e-16 ***      
                fesisJPN.2010  2.0243e+03  7.8894e+01  25.6590 < 2.2e-16 ***      
                fesisJPN.2013 -8.2406e+02  7.8892e+01 -10.4454 < 2.2e-16 ***      
                fesisKOR.2000 -5.0419e+02  7.9818e+01  -6.3168 5.629e-10 ***      
                fesisRUS.2007 -1.9058e+02  4.6039e+01  -4.1395 4.044e-05 ***      
                fesisUSA.2000  5.8646e+02  7.2365e+01   8.1042 3.642e-15 ***      
                fesisUSA.2005  3.5436e+02  1.2514e+02   2.8317 0.0048052 **       
                fesisUSA.2006  6.3867e+02  1.3990e+02   4.5651 6.202e-06 ***      
                fesisUSA.2008  1.0138e+03  9.3315e+01  10.8642 < 2.2e-16 ***      
                fesisUSA.2014 -7.0392e+02  6.6034e+01 -10.6600 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   68.175  1 < 2.2e-16 ***      
                Ljung-Box ARCH(1) 74.550  1 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression   111.81792      
                R-squared            0.98471      
                Log-lik.(n=598)  -3637.21459      
0.05

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 11:07:37 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 598       
                Sample: 1 to 598       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                gdp            2.9005e-12  8.5105e-14  34.0812 < 2.2e-16 ***      
                pop            5.9346e-07  4.0622e-07   1.4609 0.1446355          
                idAUT          1.3046e+01  3.0651e+01   0.4256 0.6705442          
                idBEL          3.1335e+01  3.7131e+01   0.8439 0.3991107          
                idBRA         -8.6443e+01  7.4472e+01  -1.1607 0.2462796          
                idCAN          9.9308e+01  3.0582e+01   3.2472 0.0012399 **       
                idCHE          2.1986e+01  3.0697e+01   0.7162 0.4741709          
                idCHN         -6.6745e+02  5.1286e+02  -1.3014 0.1936868          
                idDEU          5.3389e+02  4.6076e+01  11.5872 < 2.2e-16 ***      
                idDNK          9.8639e+01  3.0869e+01   3.1954 0.0014803 **       
                idESP          3.9839e+00  3.1589e+01   0.1261 0.8996872          
                idFIN          4.2085e+01  3.8386e+01   1.0964 0.2734180          
                idFRA          2.3068e+02  3.4778e+01   6.6331 8.207e-11 ***      
                idGBR          1.5762e+02  3.4397e+01   4.5824 5.753e-06 ***      
                idIND         -6.9189e+02  4.1769e+02  -1.6565 0.0982221 .        
                idISR         -7.8266e+00  3.1453e+01  -0.2488 0.8035840          
                idITA          2.3195e+01  3.3796e+01   0.6863 0.4928040          
                idJPN         -3.4919e+02  8.3761e+01  -4.1689 3.581e-05 ***      
                idKOR         -2.0842e+03  8.4535e+01 -24.6550 < 2.2e-16 ***      
                idNLD          3.1399e+01  3.0263e+01   1.0375 0.2999674          
                idNOR          3.1537e+01  3.7426e+01   0.8427 0.3998044          
                idRUS         -1.8428e+02  6.4445e+01  -2.8594 0.0044133 **       
                idSGP          2.8997e+01  3.8454e+01   0.7541 0.4511474          
                idSWE          5.6733e+01  3.7196e+01   1.5252 0.1278001          
                idUSA          4.4455e+02  1.1775e+02   3.7755 0.0001780 ***      
                time1995      -5.5609e+01  3.1371e+01  -1.7726 0.0768701 .        
                time1996      -5.7991e+01  3.1465e+01  -1.8431 0.0658850 .        
                time1997      -5.1219e+01  3.1236e+01  -1.6398 0.1016567          
                time1998      -2.8690e+01  3.1367e+01  -0.9146 0.3608010          
                time1999      -4.6693e+01  3.1507e+01  -1.4820 0.1389421          
                time2000      -3.0154e+01  3.1663e+01  -0.9523 0.3413605          
                time2001      -1.5542e+01  3.1803e+01  -0.4887 0.6252698          
                time2002      -1.5218e+01  3.1945e+01  -0.4764 0.6340077          
                time2003      -3.4496e+01  3.2064e+01  -1.0758 0.2824928          
                time2004      -5.0649e+00  3.1589e+01  -0.1603 0.8726763          
                time2005       1.0289e+01  3.1947e+01   0.3221 0.7475311          
                time2006       1.0028e+01  3.1904e+01   0.3143 0.7534042          
                time2007       6.6584e+01  3.2417e+01   2.0540 0.0404758 *        
                time2008       9.2278e+01  3.2128e+01   2.8723 0.0042407 **       
                time2009       1.9532e+02  3.2297e+01   6.0476 2.797e-09 ***      
                time2010       2.1701e+02  3.1854e+01   6.8127 2.637e-11 ***      
                time2011       2.4111e+02  3.2049e+01   7.5231 2.344e-13 ***      
                time2012       1.8330e+02  3.1826e+01   5.7595 1.439e-08 ***      
                time2013       1.6350e+02  3.1942e+01   5.1185 4.332e-07 ***      
                time2014       1.3864e+02  3.2065e+01   4.3237 1.837e-05 ***      
                time2015       9.7551e+01  3.2230e+01   3.0267 0.0025937 **       
                time2016       1.2213e+02  3.2405e+01   3.7688 0.0001827 ***      
                time2017       8.9274e+01  3.2481e+01   2.7485 0.0061938 **       
                time2018       1.0310e+02  3.2648e+01   3.1581 0.0016798 **       
                time2019       4.1571e+01  3.2798e+01   1.2675 0.2055437          
                fesisBEL.2008 -1.1363e+02  4.4504e+01  -2.5534 0.0109510 *        
                fesisBRA.2008 -1.5944e+02  4.5143e+01  -3.5319 0.0004490 ***      
                fesisCHN.2011  2.8478e+02  1.1569e+02   2.4615 0.0141570 *        
                fesisCHN.2012  2.9397e+02  1.1990e+02   2.4519 0.0145361 *        
                fesisCHN.2017  1.2604e+03  8.0422e+01  15.6730 < 2.2e-16 ***      
                fesisDEU.2007  6.0233e+02  1.1371e+02   5.2973 1.734e-07 ***      
                fesisDEU.2008  2.6842e+02  1.1376e+02   2.3596 0.0186594 *        
                fesisFIN.2007 -1.1740e+02  4.4495e+01  -2.6385 0.0085739 **       
                fesisIND.2004 -1.9348e+02  7.9399e+01  -2.4368 0.0151479 *        
                fesisIND.2010 -2.2614e+02  7.7969e+01  -2.9005 0.0038827 **       
                fesisJPN.1999  8.7006e+02  7.7259e+01  11.2616 < 2.2e-16 ***      
                fesisJPN.2003  6.8020e+02  6.8502e+01   9.9297 < 2.2e-16 ***      
                fesisJPN.2010  1.9903e+03  7.5536e+01  26.3488 < 2.2e-16 ***      
                fesisJPN.2013 -8.1320e+02  7.5375e+01 -10.7887 < 2.2e-16 ***      
                fesisKOR.2000 -4.8755e+02  7.6271e+01  -6.3923 3.616e-10 ***      
                fesisNOR.2008 -1.3522e+02  4.4506e+01  -3.0384 0.0024973 **       
                fesisRUS.2007 -2.2277e+02  4.4498e+01  -5.0063 7.591e-07 ***      
                fesisSGP.2007 -1.2013e+02  4.4475e+01  -2.7010 0.0071361 **       
                fesisSWE.2008 -1.2513e+02  4.4500e+01  -2.8120 0.0051082 **       
                fesisUSA.2000  5.7575e+02  6.9173e+01   8.3234 7.469e-16 ***      
                fesisUSA.2005  3.4233e+02  1.1956e+02   2.8632 0.0043625 **       
                fesisUSA.2006  6.2359e+02  1.3362e+02   4.6668 3.890e-06 ***      
                fesisUSA.2008  9.7194e+02  8.9442e+01  10.8667 < 2.2e-16 ***      
                fesisUSA.2014 -7.1665e+02  6.3195e+01 -11.3402 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   61.724  1 3.997e-15 ***      
                Ljung-Box ARCH(1) 67.276  1 2.220e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression   106.77351      
                R-squared            0.98632      
                Log-lik.(n=598)  -3604.60975      

1

0.01

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 11:07:34 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 574       
                Sample: 1 to 574       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            8.5070e-01  1.5134e-02  56.2096 < 2.2e-16 ***      
                gdp            1.3575e-14  1.3619e-13   0.0997 0.9206450          
                pop            7.4761e-07  1.8521e-07   4.0366 6.264e-05 ***      
                idAUT          1.2118e+01  1.5490e+01   0.7823 0.4343957          
                idBEL          1.2971e+00  1.5425e+01   0.0841 0.9330216          
                idBRA         -1.3744e+02  3.4986e+01  -3.9285 9.736e-05 ***      
                idCAN          9.6474e+00  1.5514e+01   0.6218 0.5343248          
                idCHE          1.1291e+01  1.5515e+01   0.7278 0.4671024          
                idCHN         -8.7357e+02  2.3722e+02  -3.6826 0.0002558 ***      
                idDEU          8.5072e+01  2.3620e+01   3.6017 0.0003474 ***      
                idDNK          3.1833e+01  1.5674e+01   2.0310 0.0427806 *        
                idESP         -1.4811e+01  1.5874e+01  -0.9330 0.3512407          
                idFIN          5.2883e+00  1.5579e+01   0.3395 0.7344104          
                idFRA          1.8617e+01  1.7385e+01   1.0709 0.2847180          
                idGBR          4.8425e+00  1.7096e+01   0.2833 0.7770999          
                idIND         -7.6658e+02  1.9181e+02  -3.9965 7.387e-05 ***      
                idISR          5.7662e+00  1.5892e+01   0.3628 0.7168742          
                idITA         -1.9642e+01  1.6763e+01  -1.1717 0.2418516          
                idJPN          3.4229e+02  6.6290e+01   5.1636 3.491e-07 ***      
                idKOR          9.2396e+00  1.1723e+02   0.0788 0.9372109          
                idNLD          8.2370e+00  1.5340e+01   0.5370 0.5915262          
                idNOR          5.3685e+00  1.5611e+01   0.3439 0.7310720          
                idRUS         -9.9299e+01  2.8069e+01  -3.5376 0.0004410 ***      
                idSGP          3.4861e+00  1.5601e+01   0.2234 0.8232757          
                idSWE          6.9208e+00  1.5474e+01   0.4473 0.6548738          
                idUSA          4.2904e+01  5.2807e+01   0.8125 0.4169023          
                time1996      -3.1679e+01  1.5627e+01  -2.0272 0.0431712 *        
                time1997      -2.7801e+01  1.5651e+01  -1.7763 0.0762915 .        
                time1998      -1.9495e+01  1.5545e+01  -1.2541 0.2103880          
                time1999      -5.8449e+00  1.5555e+01  -0.3758 0.7072529          
                time2000       1.9590e-02  1.5570e+01   0.0013 0.9989966          
                time2001      -7.2435e+00  1.5607e+01  -0.4641 0.6427649          
                time2002      -1.6102e+01  1.5662e+01  -1.0281 0.3043988          
                time2003      -1.7581e+01  1.5801e+01  -1.1126 0.2663924          
                time2004       3.4557e+00  1.5634e+01   0.2210 0.8251491          
                time2005       1.4328e+01  1.5682e+01   0.9136 0.3613409          
                time2006      -3.3605e+00  1.5736e+01  -0.2136 0.8309799          
                time2007       2.7062e+01  1.5819e+01   1.7107 0.0877489 .        
                time2008       2.3508e+01  1.5939e+01   1.4748 0.1408811          
                time2009       4.3541e+01  1.5869e+01   2.7438 0.0062886 **       
                time2010       4.8636e+01  1.5846e+01   3.0693 0.0022607 **       
                time2011      -2.3286e+00  1.6095e+01  -0.1447 0.8850195          
                time2012      -1.7290e+01  1.6146e+01  -1.0709 0.2847338          
                time2013      -3.0308e+01  1.6098e+01  -1.8827 0.0603177 .        
                time2014      -7.4991e+00  1.6260e+01  -0.4612 0.6448517          
                time2015      -1.6334e+01  1.6141e+01  -1.0120 0.3120196          
                time2016      -3.7729e-01  1.6092e+01  -0.0234 0.9813038          
                time2017       1.5995e+01  1.6068e+01   0.9954 0.3199968          
                time2018       1.2814e+01  1.6132e+01   0.7943 0.4274019          
                time2019      -3.0917e+01  1.6334e+01  -1.8928 0.0589521 .        
                fesisCHN.2016  4.6099e+02  3.7964e+01  12.1428 < 2.2e-16 ***      
                fesisDEU.2007  2.9190e+02  3.1777e+01   9.1860 < 2.2e-16 ***      
                fesisDEU.2012 -2.8813e+02  3.1008e+01  -9.2924 < 2.2e-16 ***      
                fesisIND.2004 -9.9548e+01  3.7824e+01  -2.6319 0.0087508 **       
                fesisIND.2009 -9.3350e+01  3.7827e+01  -2.4678 0.0139256 *        
                fesisJPN.2009  5.9209e+02  5.7665e+01  10.2676 < 2.2e-16 ***      
                fesisJPN.2010  4.4746e+02  6.8716e+01   6.5118 1.796e-10 ***      
                fesisJPN.2012 -1.2035e+03  5.5560e+01 -21.6606 < 2.2e-16 ***      
                fesisJPN.2014  3.5526e+02  4.6909e+01   7.5734 1.745e-13 ***      
                fesisJPN.2019 -7.5560e+02  5.9356e+01 -12.7300 < 2.2e-16 ***      
                fesisKOR.2003  1.7045e+02  5.3582e+01   3.1812 0.0015570 **       
                fesisKOR.2009  3.7403e+02  4.8931e+01   7.6440 1.069e-13 ***      
                fesisKOR.2014 -4.8623e+02  5.0658e+01  -9.5982 < 2.2e-16 ***      
                fesisKOR.2016  5.9831e+02  6.7443e+01   8.8713 < 2.2e-16 ***      
                fesisKOR.2017 -3.8182e+02  6.3890e+01  -5.9762 4.317e-09 ***      
                fesisUSA.2006  4.8404e+02  3.8909e+01  12.4404 < 2.2e-16 ***      
                fesisUSA.2009 -1.8242e+02  4.3813e+01  -4.1636 3.684e-05 ***      
                fesisUSA.2014 -6.4216e+02  5.9391e+01 -10.8124 < 2.2e-16 ***      
                fesisUSA.2015  3.5160e+02  6.0373e+01   5.8238 1.025e-08 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                    Chi-sq df p-value          
                Ljung-Box AR(1)    0.30302  1   0.582          
                Ljung-Box ARCH(1) 75.97059  1  <2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    53.01517      
                R-squared            0.99672      
                Log-lik.(n=574)  -3059.08252      
0.05

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 11:07:34 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 574       
                Sample: 1 to 574       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            8.1315e-01  1.6041e-02  50.6903 < 2.2e-16 ***      
                gdp            4.2102e-14  1.2429e-13   0.3387 0.7349430          
                pop            3.3344e-08  8.8217e-08   0.3780 0.7056032          
                idAUT          2.8333e+00  1.3961e+01   0.2029 0.8392598          
                idBEL         -7.4367e+00  1.3956e+01  -0.5329 0.5943678          
                idBRA         -1.8678e+01  2.0324e+01  -0.9190 0.3585385          
                idCAN          2.2182e+01  1.4072e+01   1.5763 0.1155944          
                idCHE          1.9982e+00  1.3966e+01   0.1431 0.8862909          
                idCHN         -1.7781e+01  1.1149e+02  -0.1595 0.8733521          
                idDEU          1.4751e+02  2.0603e+01   7.1595 2.887e-12 ***      
                idDNK          2.3781e+01  1.4045e+01   1.6932 0.0910322 .        
                idESP          2.1758e+00  1.4072e+01   0.1546 0.8771830          
                idFIN         -7.3147e+00  1.3996e+01  -0.5226 0.6014499          
                idFRA          5.8467e+01  1.5051e+01   3.8845 0.0001162 ***      
                idGBR          4.0538e+01  1.4711e+01   2.7555 0.0060720 **       
                idIND         -4.1373e+01  1.0145e+02  -0.4078 0.6835741          
                idISR         -4.2023e+00  1.4307e+01  -0.2937 0.7690957          
                idITA          8.7177e+00  1.4332e+01   0.6083 0.5432879          
                idJPN          2.3262e+02  6.5386e+01   3.5577 0.0004096 ***      
                idKOR          7.1292e+00  1.0664e+02   0.0669 0.9467234          
                idNLD          5.7409e+00  1.3929e+01   0.4122 0.6803999          
                idNOR         -7.9682e+00  1.4022e+01  -0.5683 0.5701042          
                idRUS         -1.4362e+01  1.7958e+01  -0.7998 0.4242247          
                idSGP         -1.0075e+01  1.4013e+01  -0.7190 0.4725044          
                idSWE         -1.8817e+00  1.3968e+01  -0.1347 0.8928850          
                idUSA          2.6251e+02  3.3528e+01   7.8294 2.924e-14 ***      
                time1996      -1.2290e+01  1.4097e+01  -0.8718 0.3837302          
                time1997      -6.9726e+00  1.4084e+01  -0.4951 0.6207760          
                time1998      -9.7932e+00  1.3914e+01  -0.7038 0.4818687          
                time1999       5.5364e+00  1.3886e+01   0.3987 0.6902795          
                time2000       1.3509e+01  1.3869e+01   0.9741 0.3304814          
                time2001       8.4889e+00  1.3878e+01   0.6117 0.5410181          
                time2002       1.4047e+00  1.3896e+01   0.1011 0.9195225          
                time2003       9.9871e-01  1.3989e+01   0.0714 0.9431118          
                time2004       1.9401e+01  1.3985e+01   1.3873 0.1659588          
                time2005       3.2367e+01  1.4018e+01   2.3089 0.0213529 *        
                time2006       1.4852e+01  1.4030e+01   1.0586 0.2902859          
                time2007       4.6091e+01  1.4055e+01   3.2793 0.0011129 **       
                time2008       4.5079e+01  1.4221e+01   3.1699 0.0016178 **       
                time2009       5.4975e+01  1.4245e+01   3.8591 0.0001286 ***      
                time2010       6.2829e+01  1.4227e+01   4.4161 1.231e-05 ***      
                time2011       1.6847e+01  1.4556e+01   1.1574 0.2476536          
                time2012       8.3930e+00  1.4563e+01   0.5763 0.5646543          
                time2013      -5.1579e+00  1.4435e+01  -0.3573 0.7209962          
                time2014       1.0093e+01  1.4510e+01   0.6956 0.4870013          
                time2015       1.4664e+00  1.4338e+01   0.1023 0.9185787          
                time2016       1.7159e+01  1.4319e+01   1.1984 0.2313312          
                time2017       3.5301e+01  1.4280e+01   2.4721 0.0137612 *        
                time2018       3.3972e+01  1.4336e+01   2.3698 0.0181741 *        
                time2019      -8.1867e+00  1.4512e+01  -0.5641 0.5729113          
                fesisCHN.2008  1.7278e+02  2.4368e+01   7.0902 4.561e-12 ***      
                fesisCHN.2016  4.7488e+02  3.4973e+01  13.5784 < 2.2e-16 ***      
                fesisDEU.2007  3.2570e+02  2.9839e+01  10.9152 < 2.2e-16 ***      
                fesisDEU.2012 -4.0529e+02  4.2079e+01  -9.6317 < 2.2e-16 ***      
                fesisDEU.2014  1.5728e+02  4.1287e+01   3.8094 0.0001565 ***      
                fesisJPN.1998  2.9979e+02  4.1483e+01   7.2268 1.846e-12 ***      
                fesisJPN.2008 -1.4455e+02  5.3211e+01  -2.7166 0.0068237 **       
                fesisJPN.2009  7.1948e+02  6.9707e+01  10.3215 < 2.2e-16 ***      
                fesisJPN.2010  4.9118e+02  6.3239e+01   7.7671 4.541e-14 ***      
                fesisJPN.2012 -1.1803e+03  5.1030e+01 -23.1286 < 2.2e-16 ***      
                fesisJPN.2014  3.3045e+02  4.3304e+01   7.6308 1.179e-13 ***      
                fesisJPN.2019 -7.5660e+02  5.3974e+01 -14.0178 < 2.2e-16 ***      
                fesisKOR.2003  1.7751e+02  4.8733e+01   3.6425 0.0002980 ***      
                fesisKOR.2009  4.1646e+02  4.5034e+01   9.2476 < 2.2e-16 ***      
                fesisKOR.2014 -4.6402e+02  4.6175e+01 -10.0492 < 2.2e-16 ***      
                fesisKOR.2016  5.8175e+02  6.1438e+01   9.4689 < 2.2e-16 ***      
                fesisKOR.2017 -3.7464e+02  5.8108e+01  -6.4473 2.674e-10 ***      
                fesisUSA.2006  5.3579e+02  3.6701e+01  14.5991 < 2.2e-16 ***      
                fesisUSA.2009 -1.2447e+02  4.1324e+01  -3.0121 0.0027250 **       
                fesisUSA.2014 -6.3424e+02  5.4016e+01 -11.7419 < 2.2e-16 ***      
                fesisUSA.2015  3.2523e+02  5.5211e+01   5.8907 7.044e-09 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df p-value          
                Ljung-Box AR(1)    6.5133  1 0.01071 *        
                Ljung-Box ARCH(1) 81.7395  1 < 2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    48.2090      
                R-squared            0.9973      
                Log-lik.(n=574)  -3003.5343      

Log Count

0

0.01

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 11:07:38 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 598       
                Sample: 1 to 598       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error   t-stat   p-value          
                lgdp            1.452455   0.118112  12.2973 < 2.2e-16 ***      
                lpop            0.095706   0.392668   0.2437 0.8075324          
                idAUT           2.041883   0.314798   6.4863 2.022e-10 ***      
                idBEL           1.126429   0.232937   4.8358 1.742e-06 ***      
                idBRA          -3.779451   0.829791  -4.5547 6.518e-06 ***      
                idCAN           0.608288   0.193180   3.1488 0.0017319 **       
                idCHE           1.760982   0.362914   4.8523 1.608e-06 ***      
                idCHN          -4.588462   1.525571  -3.0077 0.0027575 **       
                idDEU           1.360222   0.524344   2.5941 0.0097456 **       
                idDNK          -0.467679   0.532215  -0.8787 0.3799413          
                idESP          -0.345784   0.327410  -1.0561 0.2913958          
                idFIN           3.125942   0.501501   6.2332 9.347e-10 ***      
                idFRA           0.601791   0.439805   1.3683 0.1717947          
                idGBR           0.633361   0.435949   1.4528 0.1468627          
                idIND          -7.365762   1.419553  -5.1888 3.021e-07 ***      
                idISR           0.443792   0.407162   1.0900 0.2762255          
                idITA          -0.349956   0.419543  -0.8341 0.4045799          
                idJPN          -5.202974   0.739110  -7.0395 6.015e-12 ***      
                idKOR          -8.343538   0.695035 -12.0045 < 2.2e-16 ***      
                idNLD           1.278292   0.113975  11.2156 < 2.2e-16 ***      
                idNOR          -1.816477   0.609718  -2.9792 0.0030227 **       
                idRUS          -6.129436   0.711929  -8.6096 < 2.2e-16 ***      
                idSGP           0.278632   0.564472   0.4936 0.6217834          
                idSWE          -0.710872   0.376381  -1.8887 0.0594781 .        
                idUSA          -0.675725   0.964333  -0.7007 0.4837869          
                time1995      -38.861655   5.822285  -6.6746 6.272e-11 ***      
                time1996      -38.696583   5.825442  -6.6427 7.665e-11 ***      
                time1997      -38.650583   5.826502  -6.6336 8.114e-11 ***      
                time1998      -38.469276   5.829084  -6.5995 1.004e-10 ***      
                time1999      -38.355917   5.831438  -6.5774 1.152e-10 ***      
                time2000      -38.291734   5.834054  -6.5635 1.256e-10 ***      
                time2001      -38.234481   5.834855  -6.5528 1.342e-10 ***      
                time2002      -38.235968   5.837132  -6.5505 1.361e-10 ***      
                time2003      -38.129974   5.836888  -6.5326 1.521e-10 ***      
                time2004      -38.046601   5.839397  -6.5155 1.690e-10 ***      
                time2005      -37.945914   5.840747  -6.4968 1.897e-10 ***      
                time2006      -37.839985   5.844124  -6.4749 2.169e-10 ***      
                time2007      -37.610193   5.848306  -6.4310 2.838e-10 ***      
                time2008      -37.408643   5.851797  -6.3927 3.583e-10 ***      
                time2009      -37.187179   5.852757  -6.3538 4.535e-10 ***      
                time2010      -37.159873   5.853360  -6.3485 4.683e-10 ***      
                time2011      -37.141487   5.855843  -6.3426 4.851e-10 ***      
                time2012      -37.238520   5.858523  -6.3563 4.467e-10 ***      
                time2013      -37.404117   5.859390  -6.3836 3.786e-10 ***      
                time2014      -37.500730   5.862041  -6.3972 3.486e-10 ***      
                time2015      -37.615710   5.864621  -6.4140 3.147e-10 ***      
                time2016      -37.627948   5.867241  -6.4132 3.162e-10 ***      
                time2017      -37.614698   5.869561  -6.4084 3.256e-10 ***      
                time2018      -37.623708   5.871762  -6.4076 3.273e-10 ***      
                time2019      -37.780987   5.873828  -6.4321 2.819e-10 ***      
                fesisAUS.2009  -0.554484   0.095285  -5.8192 1.025e-08 ***      
                fesisBRA.2005   1.038722   0.127139   8.1699 2.286e-15 ***      
                fesisBRA.2009  -0.559208   0.124578  -4.4888 8.795e-06 ***      
                fesisCAN.2007  -0.434320   0.088365  -4.9151 1.186e-06 ***      
                fesisCHE.2003  -0.566387   0.093231  -6.0751 2.370e-09 ***      
                fesisCHN.2002   0.636359   0.132199   4.8137 1.937e-06 ***      
                fesisCHN.2016   0.724746   0.138572   5.2301 2.445e-07 ***      
                fesisDNK.2007   0.883510   0.087033  10.1515 < 2.2e-16 ***      
                fesisESP.2005   0.803194   0.090150   8.9096 < 2.2e-16 ***      
                fesisFIN.1996  -0.977930   0.217869  -4.4886 8.804e-06 ***      
                fesisIND.2001   0.752642   0.115888   6.4945 1.923e-10 ***      
                fesisISR.2010  -0.377512   0.104614  -3.6086 0.0003371 ***      
                fesisITA.2006   0.351635   0.089782   3.9165 0.0001016 ***      
                fesisKOR.2004   0.690125   0.114824   6.0103 3.452e-09 ***      
                fesisKOR.2010   0.348781   0.111493   3.1283 0.0018552 **       
                fesisRUS.2007  -0.744150   0.101741  -7.3142 9.650e-13 ***      
                fesisSGP.2003   0.936061   0.111866   8.3677 5.264e-16 ***      
                fesisSGP.2013  -0.415229   0.113559  -3.6565 0.0002812 ***      
                fesisSWE.2002  -1.002276   0.096018 -10.4384 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   36.987  1 1.189e-09 ***      
                Ljung-Box ARCH(1) 25.704  1 3.980e-07 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.20771      
                R-squared          0.98585      
                Log-lik.(n=598)  125.80176      
0.05

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 11:07:37 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 598       
                Sample: 1 to 598       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error   t-stat   p-value          
                lgdp            1.489367   0.121580  12.2501 < 2.2e-16 ***      
                lpop            0.121074   0.393989   0.3073 0.7587359          
                idAUT           2.120236   0.330289   6.4193 3.087e-10 ***      
                idBEL           0.625129   0.274582   2.2767 0.0232119 *        
                idBRA          -3.873212   0.839902  -4.6115 5.038e-06 ***      
                idCAN           0.585637   0.192341   3.0448 0.0024465 **       
                idCHE           1.806617   0.370949   4.8703 1.481e-06 ***      
                idCHN          -4.802487   1.557130  -3.0842 0.0021496 **       
                idDEU           1.300043   0.533675   2.4360 0.0151846 *        
                idDNK          -0.931415   0.535513  -1.7393 0.0825750 .        
                idESP          -0.360201   0.323734  -1.1126 0.2663740          
                idFIN           3.196610   0.515366   6.2026 1.134e-09 ***      
                idFRA           0.473416   0.445284   1.0632 0.2881950          
                idGBR           0.598405   0.439658   1.3611 0.1740815          
                idIND          -7.610552   1.462407  -5.2041 2.810e-07 ***      
                idISR           0.498301   0.412328   1.2085 0.2274022          
                idITA          -0.394456   0.422365  -0.9339 0.3507782          
                idJPN          -5.467017   0.810229  -6.7475 4.022e-11 ***      
                idKOR          -8.619186   0.747897 -11.5246 < 2.2e-16 ***      
                idNLD           1.313439   0.116433  11.2806 < 2.2e-16 ***      
                idNOR          -1.681451   0.612157  -2.7468 0.0062273 **       
                idRUS          -6.322968   0.758009  -8.3415 6.626e-16 ***      
                idSGP           0.377473   0.586035   0.6441 0.5197860          
                idSWE          -0.442570   0.374393  -1.1821 0.2377058          
                idUSA          -0.832743   0.995095  -0.8368 0.4030629          
                time1995      -40.270895   6.168460  -6.5285 1.581e-10 ***      
                time1996      -40.108784   6.171946  -6.4986 1.902e-10 ***      
                time1997      -40.091634   6.173689  -6.4940 1.956e-10 ***      
                time1998      -39.916448   6.177093  -6.4620 2.379e-10 ***      
                time1999      -39.804753   6.179970  -6.4409 2.707e-10 ***      
                time2000      -39.742574   6.183222  -6.4275 2.938e-10 ***      
                time2001      -39.678983   6.185338  -6.4150 3.170e-10 ***      
                time2002      -39.696831   6.187470  -6.4157 3.157e-10 ***      
                time2003      -39.584501   6.188332  -6.3966 3.544e-10 ***      
                time2004      -39.516396   6.189895  -6.3840 3.826e-10 ***      
                time2005      -39.418687   6.191546  -6.3665 4.253e-10 ***      
                time2006      -39.315355   6.195460  -6.3458 4.819e-10 ***      
                time2007      -39.081638   6.199656  -6.3038 6.203e-10 ***      
                time2008      -38.898295   6.201232  -6.2727 7.475e-10 ***      
                time2009      -38.675181   6.201505  -6.2364 9.277e-10 ***      
                time2010      -38.638016   6.201746  -6.2302 9.627e-10 ***      
                time2011      -38.620842   6.204589  -6.2246 9.954e-10 ***      
                time2012      -38.713821   6.206730  -6.2374 9.223e-10 ***      
                time2013      -38.870073   6.208637  -6.2606 8.031e-10 ***      
                time2014      -38.967704   6.211575  -6.2734 7.442e-10 ***      
                time2015      -39.083628   6.214415  -6.2892 6.772e-10 ***      
                time2016      -39.078728   6.215805  -6.2870 6.861e-10 ***      
                time2017      -39.066689   6.218489  -6.2823 7.055e-10 ***      
                time2018      -39.076773   6.221008  -6.2814 7.094e-10 ***      
                time2019      -39.234907   6.223318  -6.3045 6.178e-10 ***      
                fesisAUS.2009  -0.560023   0.090890  -6.1615 1.445e-09 ***      
                fesisBEL.1997   0.616298   0.142928   4.3119 1.937e-05 ***      
                fesisBRA.2005   1.061688   0.115731   9.1737 < 2.2e-16 ***      
                fesisBRA.2009  -0.578706   0.113730  -5.0884 5.052e-07 ***      
                fesisCAN.2007  -0.427810   0.081833  -5.2278 2.489e-07 ***      
                fesisCHE.2003  -0.548734   0.085305  -6.4326 2.847e-10 ***      
                fesisCHN.2002   0.634712   0.127466   4.9795 8.688e-07 ***      
                fesisCHN.2016   0.676456   0.130971   5.1649 3.432e-07 ***      
                fesisDNK.1998   0.639131   0.128900   4.9583 9.640e-07 ***      
                fesisDNK.2007   0.736577   0.085363   8.6288 < 2.2e-16 ***      
                fesisESP.2005   0.816254   0.083134   9.8186 < 2.2e-16 ***      
                fesisFIN.1996  -0.940202   0.197984  -4.7489 2.649e-06 ***      
                fesisFRA.2012   0.269556   0.084179   3.2022 0.0014475 **       
                fesisIND.2001   0.576374   0.137911   4.1793 3.430e-05 ***      
                fesisIND.2004   0.304063   0.131898   2.3053 0.0215432 *        
                fesisIND.2016  -0.387751   0.121004  -3.2044 0.0014363 **       
                fesisISR.2010  -0.397520   0.101457  -3.9181 0.0001012 ***      
                fesisITA.2006   0.371410   0.082457   4.5043 8.229e-06 ***      
                fesisKOR.2004   0.711938   0.104953   6.7834 3.202e-11 ***      
                fesisKOR.2010   0.323863   0.101885   3.1787 0.0015673 **       
                fesisNOR.2012  -0.384741   0.087010  -4.4218 1.193e-05 ***      
                fesisRUS.2007  -0.741838   0.094052  -7.8876 1.829e-14 ***      
                fesisSGP.2003   0.741599   0.113542   6.5315 1.553e-10 ***      
                fesisSGP.2008   0.415429   0.132460   3.1363 0.0018080 **       
                fesisSGP.2013  -0.659967   0.115769  -5.7007 2.002e-08 ***      
                fesisSWE.1998  -0.518246   0.147508  -3.5133 0.0004811 ***      
                fesisSWE.2002  -0.632414   0.118554  -5.3344 1.433e-07 ***      
                fesisSWE.2010  -0.232642   0.092802  -2.5069 0.0124848 *        
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)   13.8262  1 0.0002005 ***      
                Ljung-Box ARCH(1)  9.2298  1 0.0023810 **       
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.18840      
                R-squared          0.98856      
                Log-lik.(n=598)  188.65449      

1

0.01

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 11:08:21 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 574       
                Sample: 1 to 574       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.614885  0.029144 21.0981 < 2.2e-16 ***      
                lgdp           0.816549  0.091581  8.9161 < 2.2e-16 ***      
                lpop          -1.419386  0.293440 -4.8371 1.757e-06 ***      
                idAUT         -0.069371  0.258181 -0.2687 0.7882786          
                idBEL         -0.757084  0.263262 -2.8758 0.0042018 **       
                idBRA          0.961938  0.617772  1.5571 0.1200759          
                idCAN          0.846059  0.143483  5.8966 6.829e-09 ***      
                idCHE         -0.638917  0.279385 -2.2869 0.0226194 *        
                idCHN          3.861524  1.130091  3.4170 0.0006847 ***      
                idDEU          2.429225  0.400748  6.0617 2.651e-09 ***      
                idDNK         -2.546027  0.428263 -5.9450 5.186e-09 ***      
                idESP          1.037142  0.230412  4.5013 8.409e-06 ***      
                idFIN         -0.591942  0.374881 -1.5790 0.1149647          
                idFRA          1.857296  0.327521  5.6708 2.405e-08 ***      
                idGBR          1.858716  0.322924  5.7559 1.503e-08 ***      
                idIND          2.558106  1.064752  2.4025 0.0166446 *        
                idISR         -1.218394  0.302112 -4.0329 6.368e-05 ***      
                idITA          1.491162  0.300915  4.9554 9.890e-07 ***      
                idJPN         -0.807608  0.544762 -1.4825 0.1388371          
                idKOR         -3.326521  0.524486 -6.3424 5.058e-10 ***      
                idNLD          0.432053  0.101651  4.2503 2.546e-05 ***      
                idNOR         -2.906757  0.474179 -6.1301 1.781e-09 ***      
                idRUS         -0.314943  0.544748 -0.5781 0.5634266          
                idSGP         -1.366773  0.499593 -2.7358 0.0064442 **       
                idSWE         -1.390005  0.302531 -4.5946 5.494e-06 ***      
                idUSA          3.084624  0.732575  4.2107 3.019e-05 ***      
                time1996       2.458714  4.528886  0.5429 0.5874428          
                time1997       2.376013  4.529504  0.5246 0.6001187          
                time1998       2.499866  4.528593  0.5520 0.5811820          
                time1999       2.555469  4.530268  0.5641 0.5729469          
                time2000       2.555386  4.532094  0.5638 0.5731137          
                time2001       2.591384  4.532539  0.5717 0.5677621          
                time2002       2.525125  4.534230  0.5569 0.5778426          
                time2003       2.627908  4.535768  0.5794 0.5625970          
                time2004       2.655320  4.537576  0.5852 0.5586870          
                time2005       2.744380  4.539800  0.6045 0.5457745          
                time2006       2.803672  4.541327  0.6174 0.5372723          
                time2007       2.924337  4.543762  0.6436 0.5201334          
                time2008       2.979144  4.545805  0.6554 0.5125362          
                time2009       3.013208  4.547311  0.6626 0.5078690          
                time2010       3.006772  4.548360  0.6611 0.5088730          
                time2011       3.000342  4.550182  0.6594 0.5099488          
                time2012       2.887639  4.552138  0.6343 0.5261434          
                time2013       2.773433  4.554388  0.6090 0.5428280          
                time2014       2.777952  4.556581  0.6097 0.5423654          
                time2015       2.726007  4.558778  0.5980 0.5501309          
                time2016       2.856973  4.561156  0.6264 0.5313573          
                time2017       2.866184  4.562937  0.6281 0.5301955          
                time2018       2.819771  4.564494  0.6178 0.5370129          
                time2019       2.666438  4.566086  0.5840 0.5595062          
                fesisBEL.1997  1.518604  0.264099  5.7501 1.552e-08 ***      
                fesisBEL.1998 -0.809348  0.206121 -3.9266 9.823e-05 ***      
                fesisBEL.2003 -0.641213  0.204342 -3.1379 0.0018016 **       
                fesisBEL.2004  0.599923  0.192411  3.1179 0.0019260 **       
                fesisBRA.1997  0.827668  0.193654  4.2740 2.299e-05 ***      
                fesisBRA.2014  0.491574  0.139312  3.5286 0.0004562 ***      
                fesisBRA.2016 -0.845990  0.187309 -4.5165 7.846e-06 ***      
                fesisBRA.2018  0.686829  0.187115  3.6706 0.0002679 ***      
                fesisDNK.1998  1.376790  0.229046  6.0110 3.554e-09 ***      
                fesisDNK.1999 -0.969270  0.203443 -4.7643 2.485e-06 ***      
                fesisDNK.2005  0.378264  0.092167  4.1041 4.738e-05 ***      
                fesisESP.2003  0.423162  0.088340  4.7902 2.198e-06 ***      
                fesisIND.1998 -0.684031  0.171133 -3.9971 7.378e-05 ***      
                fesisIND.2001  0.627174  0.120821  5.1909 3.047e-07 ***      
                fesisRUS.2007 -0.533646  0.089701 -5.9492 5.064e-09 ***      
                fesisSGP.1997 -1.054226  0.264225 -3.9899 7.598e-05 ***      
                fesisSGP.1998  1.192212  0.215857  5.5231 5.357e-08 ***      
                fesisSGP.2001 -0.767489  0.170725 -4.4955 8.632e-06 ***      
                fesisSGP.2003  0.992235  0.169984  5.8372 9.544e-09 ***      
                fesisSGP.2006 -0.968578  0.216195 -4.4801 9.250e-06 ***      
                fesisSGP.2007  1.142853  0.215622  5.3003 1.736e-07 ***      
                fesisSGP.2010 -0.432984  0.124561 -3.4761 0.0005530 ***      
                fesisSWE.1998 -0.578895  0.142285 -4.0686 5.494e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    4.0773  1   0.04346 *        
                Ljung-Box ARCH(1) 16.1382  1 5.889e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.18204      
                R-squared          0.98887      
                Log-lik.(n=574)  199.86876      
0.05

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 11:08:19 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 574       
                Sample: 1 to 574       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.619616  0.028213 21.9621 < 2.2e-16 ***      
                lgdp           0.631299  0.095918  6.5817 1.205e-10 ***      
                lpop          -1.208080  0.323909 -3.7297 0.0002143 ***      
                idAUT          0.092668  0.320906  0.2888 0.7728794          
                idBEL         -0.850308  0.264785 -3.2113 0.0014087 **       
                idBRA          0.682032  0.672118  1.0148 0.3107285          
                idCAN          0.774588  0.153305  5.0526 6.175e-07 ***      
                idCHE         -0.497761  0.315432 -1.5780 0.1152080          
                idCHN          2.929982  1.257483  2.3300 0.0202119 *        
                idDEU          2.246361  0.435640  5.1565 3.667e-07 ***      
                idDNK         -2.198196  0.466011 -4.7170 3.130e-06 ***      
                idESP          0.814945  0.249886  3.2613 0.0011869 **       
                idFIN         -0.669721  0.405586 -1.6512 0.0993341 .        
                idFRA          1.675451  0.357186  4.6907 3.542e-06 ***      
                idGBR          1.652867  0.352547  4.6884 3.581e-06 ***      
                idIND          2.381243  1.162136  2.0490 0.0409952 *        
                idISR         -1.154524  0.362119 -3.1882 0.0015235 **       
                idITA          1.298111  0.329795  3.9361 9.487e-05 ***      
                idJPN         -0.121628  0.577854 -0.2105 0.8333797          
                idKOR         -2.267558  0.547259 -4.1435 4.034e-05 ***      
                idNLD          0.327471  0.102291  3.2014 0.0014571 **       
                idNOR         -2.076094  0.560529 -3.7038 0.0002367 ***      
                idRUS         -0.048914  0.581630 -0.0841 0.9330134          
                idSGP         -1.348357  0.533885 -2.5256 0.0118676 *        
                idSWE         -1.061874  0.326330 -3.2540 0.0012171 **       
                idUSA          2.946598  0.799630  3.6850 0.0002544 ***      
                time1996       4.023315  4.890680  0.8226 0.4111100          
                time1997       3.958718  4.891251  0.8093 0.4187110          
                time1998       4.098703  4.891547  0.8379 0.4024892          
                time1999       4.166431  4.893337  0.8514 0.3949379          
                time2000       4.173206  4.895280  0.8525 0.3943580          
                time2001       4.187604  4.895754  0.8554 0.3927757          
                time2002       4.104421  4.897173  0.8381 0.4023741          
                time2003       4.247959  4.898422  0.8672 0.3862542          
                time2004       4.258027  4.899983  0.8690 0.3852817          
                time2005       4.366723  4.901622  0.8909 0.3734372          
                time2006       4.396346  4.903031  0.8967 0.3703441          
                time2007       4.519543  4.905691  0.9213 0.3573574          
                time2008       4.574125  4.908218  0.9319 0.3518335          
                time2009       4.616510  4.909263  0.9404 0.3474953          
                time2010       4.614884  4.910365  0.9398 0.3477733          
                time2011       4.611782  4.912331  0.9388 0.3482898          
                time2012       4.499937  4.914496  0.9156 0.3603059          
                time2013       4.387820  4.916805  0.8924 0.3726124          
                time2014       4.398188  4.919028  0.8941 0.3717008          
                time2015       4.337259  4.921367  0.8813 0.3785837          
                time2016       4.471882  4.923724  0.9082 0.3642050          
                time2017       4.484749  4.925597  0.9105 0.3630101          
                time2018       4.441903  4.927284  0.9015 0.3677728          
                time2019       4.313089  4.929082  0.8750 0.3819896          
                fesisAUT.1997 -0.582638  0.211739 -2.7517 0.0061501 **       
                fesisAUT.1999  0.350392  0.128121  2.7349 0.0064681 **       
                fesisBEL.1997  1.508625  0.244578  6.1683 1.453e-09 ***      
                fesisBEL.1998 -1.004177  0.200978 -4.9965 8.155e-07 ***      
                fesisBEL.2001  0.458377  0.157058  2.9185 0.0036796 **       
                fesisBEL.2003 -0.931524  0.211217 -4.4103 1.272e-05 ***      
                fesisBEL.2004  0.655489  0.178385  3.6746 0.0002647 ***      
                fesisBEL.2019 -0.535880  0.177690 -3.0158 0.0026968 **       
                fesisBRA.1997  0.936329  0.212038  4.4159 1.240e-05 ***      
                fesisBRA.1999 -0.516265  0.158701 -3.2531 0.0012209 **       
                fesisBRA.2002  0.458207  0.112131  4.0863 5.124e-05 ***      
                fesisBRA.2014  0.430704  0.131327  3.2796 0.0011139 **       
                fesisBRA.2016 -0.860671  0.173054 -4.9734 9.134e-07 ***      
                fesisBRA.2018  0.674481  0.172898  3.9010 0.0001092 ***      
                fesisCHE.2003 -0.604128  0.184104 -3.2814 0.0011069 **       
                fesisCHE.2004  0.490138  0.178358  2.7481 0.0062175 **       
                fesisCHN.1997  0.607434  0.183788  3.3051 0.0010195 **       
                fesisCHN.2015  0.276998  0.104930  2.6398 0.0085607 **       
                fesisDNK.1998  1.359276  0.211803  6.4176 3.286e-10 ***      
                fesisDNK.1999 -0.970754  0.188388 -5.1529 3.733e-07 ***      
                fesisDNK.2005  0.375862  0.085253  4.4088 1.280e-05 ***      
                fesisESP.2003  0.416204  0.083007  5.0141 7.475e-07 ***      
                fesisIND.1998 -0.705183  0.158486 -4.4495 1.068e-05 ***      
                fesisIND.2001  0.706950  0.114182  6.1914 1.268e-09 ***      
                fesisISR.2005 -0.370604  0.184774 -2.0057 0.0454390 *        
                fesisISR.2006  0.799122  0.198441  4.0270 6.551e-05 ***      
                fesisISR.2009 -0.370263  0.114831 -3.2244 0.0013470 **       
                fesisNOR.1997 -0.413580  0.178078 -2.3225 0.0206195 *        
                fesisRUS.2007 -0.461855  0.085917 -5.3756 1.186e-07 ***      
                fesisSGP.1997 -1.067906  0.244718 -4.3638 1.562e-05 ***      
                fesisSGP.1998  1.164198  0.199544  5.8343 9.860e-09 ***      
                fesisSGP.2001 -0.743669  0.158025 -4.7060 3.297e-06 ***      
                fesisSGP.2003  0.989939  0.157141  6.2997 6.677e-10 ***      
                fesisSGP.2006 -0.932246  0.199953 -4.6623 4.043e-06 ***      
                fesisSGP.2007  1.136714  0.199419  5.7001 2.077e-08 ***      
                fesisSGP.2010 -0.420336  0.115991 -3.6239 0.0003207 ***      
                fesisSWE.1998 -0.567573  0.132186 -4.2938 2.121e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    4.1749  1 0.0410262 *        
                Ljung-Box ARCH(1) 11.4947  1 0.0006979 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.16807      
                R-squared          0.99078      
                Log-lik.(n=574)  252.68269      

Solar

with IIS

Count

AR 0

0.01

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 11:35:31 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 567       
                Sample: 1 to 567       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                gdp            2.4584e-13  3.7426e-14   6.5686 1.339e-10 ***      
                pop            9.3580e-09  6.3562e-08   0.1472 0.8830151          
                idAUT         -1.4405e+01  9.6360e+00  -1.4949 0.1355973          
                idBEL         -1.8901e+01  9.6243e+00  -1.9639 0.0501233 .        
                idBRA         -5.1149e+01  1.6111e+01  -3.1748 0.0015971 **       
                idCAN         -1.1174e+00  9.6310e+00  -0.1160 0.9076829          
                idCHE          1.2939e+00  9.6396e+00   0.1342 0.8932787          
                idCHN         -2.0470e+01  8.0854e+01  -0.2532 0.8002421          
                idDEU          6.7269e+01  1.5388e+01   4.3715 1.518e-05 ***      
                idDNK         -3.3488e+01  1.0438e+01  -3.2083 0.0014259 **       
                idESP          4.3034e-02  9.7106e+00   0.0044 0.9964659          
                idFIN         -2.8598e+01  9.6540e+00  -2.9623 0.0032069 **       
                idFRA          4.9527e+01  9.9729e+00   4.9662 9.547e-07 ***      
                idGBR          1.9047e+01  9.9409e+00   1.9160 0.0559677 .        
                idIND         -4.6128e+01  7.5316e+01  -0.6125 0.5405235          
                idISR         -2.7995e+00  9.8618e+00  -0.2839 0.7766350          
                idITA          1.3604e+01  9.8903e+00   1.3755 0.1696200          
                idJPN          2.2126e+02  2.3094e+01   9.5809 < 2.2e-16 ***      
                idKOR         -1.9018e+02  3.8430e+01  -4.9489 1.039e-06 ***      
                idNLD         -2.3167e+00  9.6063e+00  -0.2412 0.8095276          
                idNOR         -3.0311e+01  9.6590e+00  -3.1381 0.0018063 **       
                idRUS         -4.9552e+01  1.2585e+01  -3.9374 9.474e-05 ***      
                idSGP         -3.4596e+01  1.0611e+01  -3.2605 0.0011921 **       
                idSWE         -2.4242e+01  9.6325e+00  -2.5167 0.0121758 *        
                idUSA          6.5774e+02  3.1081e+01  21.1619 < 2.2e-16 ***      
                time1995       6.0052e+00  1.1081e+01   0.5420 0.5881043          
                time1996       7.8472e+00  1.1071e+01   0.7088 0.4787972          
                time1997       1.0829e+01  1.0275e+01   1.0539 0.2924632          
                time1998       1.2863e+01  1.0286e+01   1.2505 0.2117288          
                time1999       1.2080e+01  1.0018e+01   1.2059 0.2284767          
                time2000       1.4709e+01  1.0018e+01   1.4684 0.1426673          
                time2001       1.4363e+01  1.0022e+01   1.4331 0.1524788          
                time2002       8.1691e+00  1.0039e+01   0.8138 0.4161839          
                time2003       1.4104e+01  1.0047e+01   1.4038 0.1610209          
                time2004       2.1576e+01  9.8216e+00   2.1968 0.0285176 *        
                time2005       2.9280e+01  9.9466e+00   2.9437 0.0034021 **       
                time2006       2.6343e+01  9.8760e+00   2.6674 0.0079065 **       
                time2007       4.3468e+01  9.9095e+00   4.3865 1.420e-05 ***      
                time2008       6.6904e+01  9.9767e+00   6.7061 5.705e-11 ***      
                time2009       6.7787e+01  1.0087e+01   6.7202 5.223e-11 ***      
                time2010       7.5252e+01  1.0090e+01   7.4578 4.224e-13 ***      
                time2011       7.8422e+01  1.0100e+01   7.7646 5.096e-14 ***      
                time2012       7.7403e+01  9.9370e+00   7.7894 4.283e-14 ***      
                time2013       6.6072e+01  9.9341e+00   6.6510 8.043e-11 ***      
                time2014       4.5628e+01  9.9495e+00   4.5860 5.789e-06 ***      
                time2015       4.6460e+01  9.9657e+00   4.6620 4.076e-06 ***      
                time2016       5.3849e+01  1.0066e+01   5.3496 1.374e-07 ***      
                time2017       4.1856e+01  1.0005e+01   4.1836 3.420e-05 ***      
                time2018       3.6818e+01  1.0019e+01   3.6747 0.0002653 ***      
                time2019       1.4081e+01  1.0032e+01   1.4036 0.1610992          
                iis159         2.4328e+02  4.9073e+01   4.9574 9.964e-07 ***      
                iis160         3.8677e+02  4.9078e+01   7.8808 2.250e-14 ***      
                iis161         1.5315e+02  4.9083e+01   3.1202 0.0019177 **       
                iis176         2.0438e+02  4.0128e+01   5.0932 5.091e-07 ***      
                iis177         1.9445e+02  4.0125e+01   4.8461 1.709e-06 ***      
                iis178         2.1896e+02  4.0124e+01   5.4570 7.818e-08 ***      
                iis377        -1.4559e+02  3.6952e+01  -3.9399 9.377e-05 ***      
                iis378        -1.4346e+02  3.6948e+01  -3.8828 0.0001179 ***      
                iis379        -1.6609e+02  3.6718e+01  -4.5233 7.704e-06 ***      
                iis380        -1.3330e+02  3.6718e+01  -3.6304 0.0003138 ***      
                iis391         4.3826e+02  4.9125e+01   8.9214 < 2.2e-16 ***      
                iis392         1.0662e+03  4.0139e+01  26.5630 < 2.2e-16 ***      
                iis393         1.0067e+03  4.0140e+01  25.0793 < 2.2e-16 ***      
                iis394         6.7421e+02  4.0093e+01  16.8162 < 2.2e-16 ***      
                iis395         5.4695e+02  4.0072e+01  13.6492 < 2.2e-16 ***      
                iis396         3.9748e+02  4.0072e+01   9.9191 < 2.2e-16 ***      
                iis397         2.8875e+02  4.0069e+01   7.2062 2.282e-12 ***      
                iis398         2.6287e+02  4.0080e+01   6.5586 1.424e-10 ***      
                iis543        -6.1497e+02  4.2901e+01 -14.3346 < 2.2e-16 ***      
                iis544        -6.3778e+02  4.2888e+01 -14.8708 < 2.2e-16 ***      
                iis545        -6.1692e+02  4.2655e+01 -14.4630 < 2.2e-16 ***      
                iis546        -6.0050e+02  4.2655e+01 -14.0780 < 2.2e-16 ***      
                iis547        -5.8018e+02  4.2575e+01 -13.6272 < 2.2e-16 ***      
                iis548        -5.5139e+02  4.2570e+01 -12.9525 < 2.2e-16 ***      
                iis549        -5.0135e+02  4.2567e+01 -11.7779 < 2.2e-16 ***      
                iis550        -4.8807e+02  4.2559e+01 -11.4681 < 2.2e-16 ***      
                iis551        -5.0019e+02  4.2557e+01 -11.7534 < 2.2e-16 ***      
                iis552        -4.5961e+02  4.2498e+01 -10.8149 < 2.2e-16 ***      
                iis553        -3.5847e+02  4.2522e+01  -8.4301 4.179e-16 ***      
                iis556         2.2097e+02  3.8825e+01   5.6915 2.209e-08 ***      
                iis557         3.9734e+02  3.8846e+01  10.2285 < 2.2e-16 ***      
                iis558         4.3197e+02  3.8844e+01  11.1207 < 2.2e-16 ***      
                iis559         3.0321e+02  3.8843e+01   7.8062 3.807e-14 ***      
                fesisCHN.2006  1.6362e+02  1.6488e+01   9.9232 < 2.2e-16 ***      
                fesisCHN.2016  3.0621e+02  3.6502e+01   8.3888 5.679e-16 ***      
                fesisDEU.2002  9.7156e+01  2.0407e+01   4.7608 2.565e-06 ***      
                fesisDEU.2007  3.0282e+02  2.5382e+01  11.9307 < 2.2e-16 ***      
                fesisDEU.2013 -2.4143e+02  2.3983e+01 -10.0666 < 2.2e-16 ***      
                fesisJPN.2008  3.3163e+02  3.6615e+01   9.0571 < 2.2e-16 ***      
                fesisJPN.2010 -2.2372e+02  4.0143e+01  -5.5730 4.207e-08 ***      
                fesisKOR.2009  4.1595e+02  2.7184e+01  15.3010 < 2.2e-16 ***      
                fesisUSA.2008  2.1388e+02  3.0087e+01   7.1087 4.334e-12 ***      
                fesisUSA.2016 -3.3610e+02  2.4568e+01 -13.6802 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   64.581  1 8.882e-16 ***      
                Ljung-Box ARCH(1) 22.866  1 1.737e-06 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    33.94633      
                R-squared            0.98285      
                Log-lik.(n=567)  -2756.58880      
0.05

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 11:35:30 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 567       
                Sample: 1 to 567       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                gdp            2.4229e-13  3.4390e-14   7.0453 6.673e-12 ***      
                pop           -5.4000e-08  5.8850e-08  -0.9176 0.3593104          
                idAUT         -1.5227e+01  8.8286e+00  -1.7248 0.0852309 .        
                idBEL         -1.9571e+01  8.8176e+00  -2.2195 0.0269326 *        
                idBRA         -4.2328e+01  1.4805e+01  -2.8590 0.0044396 **       
                idCAN         -3.6478e-01  8.8238e+00  -0.0413 0.9670419          
                idCHE          4.3260e-01  8.8319e+00   0.0490 0.9609546          
                idCHN          6.2804e+01  7.4924e+01   0.8382 0.4023270          
                idDEU          7.5277e+01  1.4151e+01   5.3197 1.616e-07 ***      
                idDNK         -3.5791e+01  9.5693e+00  -3.7402 0.0002067 ***      
                idESP          1.4857e+00  8.8983e+00   0.1670 0.8674720          
                idFIN         -1.0214e+01  1.1065e+01  -0.9232 0.3564004          
                idFRA          5.2219e+01  9.1436e+00   5.7110 2.001e-08 ***      
                idGBR          2.1615e+01  9.1137e+00   2.3718 0.0181082 *        
                idIND          2.8655e+01  6.9720e+01   0.4110 0.6812589          
                idISR         -3.9665e+00  9.0363e+00  -0.4390 0.6608973          
                idITA          1.5971e+01  9.0664e+00   1.7616 0.0787987 .        
                idJPN          2.3202e+02  2.1232e+01  10.9277 < 2.2e-16 ***      
                idKOR         -1.8255e+02  3.5304e+01  -5.1709 3.462e-07 ***      
                idNLD         -2.6248e+00  8.8007e+00  -0.2983 0.7656442          
                idNOR         -1.0276e+01  1.1069e+01  -0.9284 0.3536630          
                idRUS         -1.5701e+01  1.4138e+01  -1.1105 0.2673498          
                idSGP         -3.7204e+01  9.7295e+00  -3.8238 0.0001492 ***      
                idSWE         -2.4990e+01  8.8253e+00  -2.8316 0.0048314 **       
                idUSA          6.7209e+02  2.8561e+01  23.5318 < 2.2e-16 ***      
                time1995       4.0278e+00  1.0173e+01   0.3959 0.6923360          
                time1996       5.8908e+00  1.0164e+01   0.5796 0.5624795          
                time1997       7.2348e+00  9.4416e+00   0.7663 0.4439036          
                time1998       9.3689e+00  9.4502e+00   0.9914 0.3220067          
                time1999       9.1141e+00  9.1999e+00   0.9907 0.3223553          
                time2000       1.1853e+01  9.1991e+00   1.2885 0.1982033          
                time2001       1.1598e+01  9.2031e+00   1.2603 0.2081995          
                time2002       5.5638e+00  9.2174e+00   0.6036 0.5463914          
                time2003       1.1597e+01  9.2245e+00   1.2572 0.2093213          
                time2004       1.9629e+01  9.0122e+00   2.1780 0.0299023 *        
                time2005       2.7206e+01  9.1293e+00   2.9801 0.0030318 **       
                time2006       2.7342e+01  9.0735e+00   3.0134 0.0027242 **       
                time2007       5.1872e+01  9.1331e+00   5.6796 2.377e-08 ***      
                time2008       7.0304e+01  9.2595e+00   7.5927 1.720e-13 ***      
                time2009       7.5276e+01  9.2892e+00   8.1036 4.710e-15 ***      
                time2010       8.2844e+01  9.2933e+00   8.9143 < 2.2e-16 ***      
                time2011       8.6112e+01  9.3033e+00   9.2561 < 2.2e-16 ***      
                time2012       7.2971e+01  9.2441e+00   7.8938 2.107e-14 ***      
                time2013       6.2219e+01  9.2210e+00   6.7476 4.464e-11 ***      
                time2014       4.8574e+01  9.1825e+00   5.2899 1.885e-07 ***      
                time2015       4.9500e+01  9.1974e+00   5.3820 1.168e-07 ***      
                time2016       6.6734e+01  9.1848e+00   7.2657 1.568e-12 ***      
                time2017       4.3210e+01  9.2759e+00   4.6583 4.163e-06 ***      
                time2018       4.4275e+01  9.2387e+00   4.7924 2.218e-06 ***      
                time2019       2.1599e+01  9.2514e+00   2.3347 0.0199832 *        
                iis159         4.2221e+02  3.4867e+01  12.1093 < 2.2e-16 ***      
                iis160         5.6004e+02  3.4867e+01  16.0623 < 2.2e-16 ***      
                iis161         3.2669e+02  3.4879e+01   9.3664 < 2.2e-16 ***      
                iis175         1.1980e+02  3.8989e+01   3.0726 0.0022459 **       
                iis176         2.3930e+02  3.8992e+01   6.1371 1.796e-09 ***      
                iis177         2.2926e+02  3.8990e+01   5.8799 7.825e-09 ***      
                iis178         2.5357e+02  3.8990e+01   6.5036 2.021e-10 ***      
                iis377        -1.4480e+02  3.3855e+01  -4.2770 2.298e-05 ***      
                iis378        -1.4262e+02  3.3852e+01  -4.2132 3.023e-05 ***      
                iis379        -1.6358e+02  3.3640e+01  -4.8625 1.586e-06 ***      
                iis380        -1.3089e+02  3.3640e+01  -3.8909 0.0001144 ***      
                iis390         1.3317e+02  4.5035e+01   2.9570 0.0032634 **       
                iis391         5.6724e+02  4.5030e+01  12.5970 < 2.2e-16 ***      
                iis392         9.7145e+02  4.5016e+01  21.5800 < 2.2e-16 ***      
                iis393         9.1180e+02  4.5017e+01  20.2545 < 2.2e-16 ***      
                iis394         5.9146e+02  4.5003e+01  13.1427 < 2.2e-16 ***      
                iis395         4.6365e+02  4.4983e+01  10.3072 < 2.2e-16 ***      
                iis396         3.0737e+02  4.4972e+01   6.8347 2.577e-11 ***      
                iis397         1.9857e+02  4.4970e+01   4.4156 1.253e-05 ***      
                iis398         1.6285e+02  4.4953e+01   3.6226 0.0003236 ***      
                iis543        -6.1044e+02  3.9310e+01 -15.5289 < 2.2e-16 ***      
                iis544        -6.3306e+02  3.9298e+01 -16.1095 < 2.2e-16 ***      
                iis545        -6.1036e+02  3.9085e+01 -15.6162 < 2.2e-16 ***      
                iis546        -5.9383e+02  3.9085e+01 -15.1932 < 2.2e-16 ***      
                iis547        -5.7384e+02  3.9011e+01 -14.7095 < 2.2e-16 ***      
                iis548        -5.4495e+02  3.9007e+01 -13.9708 < 2.2e-16 ***      
                iis549        -4.9483e+02  3.9004e+01 -12.6866 < 2.2e-16 ***      
                iis550        -4.8154e+02  3.8997e+01 -12.3482 < 2.2e-16 ***      
                iis551        -4.9360e+02  3.8995e+01 -12.6580 < 2.2e-16 ***      
                iis552        -4.5341e+02  3.8940e+01 -11.6438 < 2.2e-16 ***      
                iis553        -3.5197e+02  3.8963e+01  -9.0333 < 2.2e-16 ***      
                iis556         3.0544e+02  3.8996e+01   7.8327 3.243e-14 ***      
                iis557         4.7789e+02  3.8992e+01  12.2560 < 2.2e-16 ***      
                iis558         5.1258e+02  3.8989e+01  13.1465 < 2.2e-16 ***      
                iis559         3.8387e+02  3.8988e+01   9.8457 < 2.2e-16 ***      
                iis560         2.0305e+02  3.8963e+01   5.2115 2.818e-07 ***      
                iis561         1.5408e+02  3.8945e+01   3.9562 8.797e-05 ***      
                fesisCHN.2006  1.0168e+02  1.7067e+01   5.9578 5.037e-09 ***      
                fesisCHN.2012  1.9332e+02  1.9417e+01   9.9563 < 2.2e-16 ***      
                fesisDEU.2002  9.6010e+01  1.8697e+01   5.1350 4.149e-07 ***      
                fesisDEU.2007  2.5875e+02  2.6668e+01   9.7027 < 2.2e-16 ***      
                fesisDEU.2013 -2.0349e+02  2.5529e+01  -7.9707 1.221e-14 ***      
                fesisFIN.2007 -3.7301e+01  1.2901e+01  -2.8914 0.0040147 **       
                fesisJPN.2008  1.9425e+02  3.3630e+01   5.7761 1.397e-08 ***      
                fesisJPN.2018 -1.3883e+02  3.8945e+01  -3.5648 0.0004017 ***      
                fesisKOR.2009  4.1273e+02  2.5003e+01  16.5074 < 2.2e-16 ***      
                fesisNOR.2007 -4.0521e+01  1.2899e+01  -3.1414 0.0017882 **       
                fesisRUS.2007 -4.6152e+01  1.3568e+01  -3.4014 0.0007279 ***      
                fesisUSA.2008  1.3099e+02  3.1847e+01   4.1130 4.616e-05 ***      
                fesisUSA.2016 -2.5414e+02  2.7552e+01  -9.2243 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)   58.1292  1 2.454e-14 ***      
                Ljung-Box ARCH(1)  6.8969  1  0.008635 **       
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    31.09933      
                R-squared            0.98582      
                Log-lik.(n=567)  -2703.42285      

AR 1

0.01

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 11:35:25 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 543       
                Sample: 1 to 543       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            8.9153e-01  9.7327e-03  91.6018 < 2.2e-16 ***      
                gdp            2.2065e-14  3.3754e-14   0.6537  0.513619          
                pop            3.5684e-08  4.2242e-08   0.8447  0.398690          
                idAUT         -1.5105e+00  6.1180e+00  -0.2469  0.805092          
                idBEL         -2.5378e+00  6.1108e+00  -0.4153  0.678118          
                idBRA         -1.1276e+01  1.0590e+01  -1.0648  0.287506          
                idCAN         -8.0818e-01  6.1139e+00  -0.1322  0.894894          
                idCHE          4.2314e-01  6.1201e+00   0.0691  0.944909          
                idCHN         -2.6796e+01  5.4631e+01  -0.4905  0.624019          
                idDEU          2.7030e+01  8.3215e+00   3.2482  0.001245 **       
                idDNK         -4.9236e+00  6.6633e+00  -0.7389  0.460337          
                idESP         -7.1328e-01  6.1699e+00  -0.1156  0.908014          
                idFIN         -3.1261e+00  6.1337e+00  -0.5097  0.610528          
                idFRA          6.2741e+00  6.3568e+00   0.9870  0.324152          
                idGBR          7.3523e-01  6.3272e+00   0.1162  0.907542          
                idIND         -4.6494e+01  5.0140e+01  -0.9273  0.354263          
                idISR          6.3474e-01  6.2665e+00   0.1013  0.919363          
                idITA          4.7739e-01  6.2915e+00   0.0759  0.939548          
                idJPN          2.9586e+01  1.8187e+01   1.6268  0.104461          
                idKOR         -1.3756e+01  3.2922e+01  -0.4178  0.676269          
                idNLD          5.6708e-01  6.0967e+00   0.0930  0.925932          
                idNOR         -3.5777e+00  6.1385e+00  -0.5828  0.560288          
                idRUS         -1.0815e+01  8.1554e+00  -1.3261  0.185464          
                idSGP         -5.0578e+00  6.7830e+00  -0.7457  0.456246          
                idSWE         -2.6327e+00  6.1190e+00  -0.4302  0.667213          
                idUSA          2.7760e+01  1.3835e+01   2.0065  0.045377 *        
                time1996      -3.2530e+00  6.7044e+00  -0.4852  0.627755          
                time1997      -3.1347e+00  6.6968e+00  -0.4681  0.639941          
                time1998      -2.6532e-02  6.2875e+00  -0.0042  0.996635          
                time1999      -1.4630e+00  6.3527e+00  -0.2303  0.817960          
                time2000       2.3120e+00  6.1996e+00   0.3729  0.709373          
                time2001       8.2592e-02  6.2742e+00   0.0132  0.989503          
                time2002      -2.4137e+00  6.2027e+00  -0.3891  0.697347          
                time2003       3.6792e+00  6.2076e+00   0.5927  0.553671          
                time2004       6.4185e+00  6.1460e+00   1.0443  0.296871          
                time2005       1.3353e+01  6.1539e+00   2.1699  0.030519 *        
                time2006       1.0105e+01  6.2381e+00   1.6199  0.105936          
                time2007       1.5015e+01  6.2639e+00   2.3971  0.016918 *        
                time2008       1.9439e+01  6.3359e+00   3.0680  0.002280 **       
                time2009       2.5800e+01  6.3020e+00   4.0939 4.999e-05 ***      
                time2010       1.3930e+01  6.3174e+00   2.2050  0.027942 *        
                time2011       4.5317e+00  6.3422e+00   0.7145  0.475255          
                time2012      -1.5345e+00  6.3832e+00  -0.2404  0.810133          
                time2013      -1.1550e+00  6.3312e+00  -0.1824  0.855330          
                time2014      -9.3905e+00  6.2595e+00  -1.5002  0.134237          
                time2015       4.0407e+00  6.2260e+00   0.6490  0.516659          
                time2016       1.5480e+00  6.2917e+00   0.2460  0.805757          
                time2017       5.3398e+00  6.4765e+00   0.8245  0.410076          
                time2018       7.4102e+00  6.2507e+00   1.1855  0.236423          
                time2019      -7.5137e+00  6.3550e+00  -1.1823  0.237678          
                iis152         1.0151e+02  2.4976e+01   4.0642 5.653e-05 ***      
                iis154        -3.3358e+02  2.5327e+01 -13.1710 < 2.2e-16 ***      
                iis167         1.1062e+02  2.4191e+01   4.5728 6.173e-06 ***      
                iis171        -1.1074e+02  2.3670e+01  -4.6784 3.792e-06 ***      
                iis172        -1.2660e+02  2.3395e+01  -5.4114 1.001e-07 ***      
                iis364         9.1791e+01  2.2615e+01   4.0588 5.781e-05 ***      
                iis373         1.9260e+02  3.2132e+01   5.9940 4.099e-09 ***      
                iis374         3.7534e+02  3.1434e+01  11.9406 < 2.2e-16 ***      
                iis375         4.1840e+02  3.0751e+01  13.6060 < 2.2e-16 ***      
                iis377        -1.5242e+02  2.4160e+01  -6.3089 6.530e-10 ***      
                iis382        -9.4916e+01  2.3366e+01  -4.0621 5.703e-05 ***      
                iis405         2.6023e+02  2.3352e+01  11.1439 < 2.2e-16 ***      
                iis406        -1.1190e+02  2.3599e+01  -4.7418 2.817e-06 ***      
                iis530         2.5837e+02  2.2261e+01  11.6066 < 2.2e-16 ***      
                iis531         1.9864e+02  2.2209e+01   8.9441 < 2.2e-16 ***      
                iis532         4.0113e+02  2.2350e+01  17.9474 < 2.2e-16 ***      
                iis533         2.3882e+02  2.2966e+01  10.3992 < 2.2e-16 ***      
                iis541        -1.3945e+02  2.2312e+01  -6.2502 9.250e-10 ***      
                iis543        -1.1275e+02  2.2213e+01  -5.0758 5.581e-07 ***      
                fesisCHN.2015  1.5896e+02  1.4166e+01  11.2214 < 2.2e-16 ***      
                fesisDEU.2007  9.0310e+01  1.3220e+01   6.8316 2.628e-11 ***      
                fesisDEU.2012 -1.2401e+02  1.4211e+01  -8.7263 < 2.2e-16 ***      
                fesisJPN.2008  6.6971e+01  2.5184e+01   2.6593  0.008100 **       
                fesisJPN.2012 -1.2320e+02  2.4275e+01  -5.0753 5.597e-07 ***      
                fesisKOR.2007  1.4996e+02  1.8374e+01   8.1612 3.106e-15 ***      
                fesisKOR.2012 -1.4812e+02  1.6672e+01  -8.8843 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   16.811  1 4.128e-05 ***      
                Ljung-Box ARCH(1) 28.021  1 1.200e-07 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    21.10806      
                R-squared            0.99341      
                Log-lik.(n=543)  -2388.44624      
0.05

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 11:35:22 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 543       
                Sample: 1 to 543       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            9.3428e-01  1.0692e-02  87.3802 < 2.2e-16 ***      
                gdp            5.6601e-14  2.9285e-14   1.9328 0.0538825 .        
                pop            1.0479e-08  3.2650e-08   0.3209 0.7484019          
                idAUT         -1.1594e+00  4.6995e+00  -0.2467 0.8052463          
                idBEL         -1.9540e+00  4.6948e+00  -0.4162 0.6774556          
                idBRA         -4.5412e+00  8.1526e+00  -0.5570 0.5777888          
                idCAN         -4.9665e-01  4.6946e+00  -0.1058 0.9157948          
                idCHE          6.6999e-02  4.6993e+00   0.0143 0.9886310          
                idCHN          1.7256e+00  4.2201e+01   0.0409 0.9674019          
                idDEU          2.4463e+01  6.4415e+00   3.7977 0.0001658 ***      
                idDNK         -3.5961e+00  5.1239e+00  -0.7018 0.4831475          
                idESP         -1.2834e-01  4.7383e+00  -0.0271 0.9784026          
                idFIN         -2.2238e+00  4.7164e+00  -0.4715 0.6375035          
                idFRA          5.1946e+00  4.9041e+00   1.0592 0.2900500          
                idGBR          8.9053e-01  4.8652e+00   0.1830 0.8548478          
                idIND         -1.8439e+01  3.8633e+01  -0.4773 0.6333782          
                idISR          5.8642e-01  4.8118e+00   0.1219 0.9030562          
                idITA          7.8492e-01  4.8356e+00   0.1623 0.8711247          
                idJPN          3.6819e+00  1.5410e+01   0.2389 0.8112672          
                idKOR         -4.6451e+01  2.8378e+01  -1.6368 0.1023543          
                idNLD          6.1105e-01  4.6813e+00   0.1305 0.8962043          
                idNOR         -2.7433e+00  4.7213e+00  -0.5811 0.5614935          
                idRUS         -8.6991e+00  6.2798e+00  -1.3852 0.1666575          
                idSGP         -3.6331e+00  5.2156e+00  -0.6966 0.4864213          
                idSWE         -1.9777e+00  4.7036e+00  -0.4205 0.6743533          
                idUSA          2.1815e+01  1.0807e+01   2.0185 0.0441221 *        
                time1996      -1.6595e+00  5.1566e+00  -0.3218 0.7477332          
                time1997      -1.7069e+00  5.1491e+00  -0.3315 0.7404277          
                time1998       1.0970e+00  4.8350e+00   0.2269 0.8206148          
                time1999      -7.5074e-01  4.8847e+00  -0.1537 0.8779195          
                time2000       2.6806e+00  4.7654e+00   0.5625 0.5740388          
                time2001       2.6511e-01  4.8234e+00   0.0550 0.9561914          
                time2002      -2.4988e+00  4.7686e+00  -0.5240 0.6005270          
                time2003       3.5642e+00  4.7719e+00   0.7469 0.4555050          
                time2004       5.9223e+00  4.7265e+00   1.2530 0.2108485          
                time2005       8.5594e+00  4.7822e+00   1.7899 0.0741421 .        
                time2006       8.5022e+00  4.7956e+00   1.7729 0.0769123 .        
                time2007       1.4670e+01  4.8675e+00   3.0138 0.0027241 **       
                time2008       1.5853e+01  4.9312e+00   3.2149 0.0013979 **       
                time2009       2.2377e+01  4.9089e+00   4.5585 6.631e-06 ***      
                time2010       6.3881e+00  4.9190e+00   1.2987 0.1947181          
                time2011       5.2280e+00  4.9998e+00   1.0456 0.2962792          
                time2012      -2.9876e+00  4.9407e+00  -0.6047 0.5456871          
                time2013      -2.6876e+00  4.9004e+00  -0.5484 0.5836606          
                time2014      -6.3282e+00  4.8665e+00  -1.3004 0.1941338          
                time2015      -6.2021e-01  4.8893e+00  -0.1268 0.8991153          
                time2016       2.4715e+00  4.8753e+00   0.5069 0.6124403          
                time2017       4.0722e+00  4.9856e+00   0.8168 0.4144684          
                time2018      -9.4540e-01  4.9288e+00  -0.1918 0.8479761          
                time2019      -3.9467e+00  4.9295e+00  -0.8006 0.4237672          
                iis150         1.0459e+02  1.7238e+01   6.0674 2.740e-09 ***      
                iis151         1.6633e+02  1.7420e+01   9.5482 < 2.2e-16 ***      
                iis152         2.4285e+02  1.7825e+01  13.6242 < 2.2e-16 ***      
                iis153         1.6999e+02  1.8650e+01   9.1147 < 2.2e-16 ***      
                iis154        -2.1307e+02  1.9318e+01 -11.0297 < 2.2e-16 ***      
                iis167         7.9982e+01  2.3508e+01   3.4024 0.0007271 ***      
                iis171        -1.3087e+02  1.8491e+01  -7.0772 5.599e-12 ***      
                iis172        -1.3813e+02  1.8065e+01  -7.6466 1.238e-13 ***      
                iis364         9.4645e+01  1.7402e+01   5.4386 8.783e-08 ***      
                iis373         2.5398e+02  1.7310e+01  14.6729 < 2.2e-16 ***      
                iis374         4.2591e+02  1.7573e+01  24.2366 < 2.2e-16 ***      
                iis375         4.5393e+02  1.8813e+01  24.1283 < 2.2e-16 ***      
                iis377        -1.8111e+02  1.9264e+01  -9.4017 < 2.2e-16 ***      
                iis382        -9.2436e+01  1.7951e+01  -5.1494 3.898e-07 ***      
                iis397         8.5483e+01  1.9399e+01   4.4066 1.311e-05 ***      
                iis398         7.4694e+01  1.9237e+01   3.8828 0.0001186 ***      
                iis403        -9.6608e+01  1.9154e+01  -5.0439 6.603e-07 ***      
                iis405         1.7845e+02  2.3649e+01   7.5458 2.470e-13 ***      
                iis406        -2.0302e+02  2.3588e+01  -8.6068 < 2.2e-16 ***      
                iis408        -1.7735e+02  2.3495e+01  -7.5486 2.423e-13 ***      
                iis529         8.9507e+01  1.7516e+01   5.1102 4.747e-07 ***      
                iis530         3.5147e+02  1.9735e+01  17.8092 < 2.2e-16 ***      
                iis531         2.7896e+02  1.8780e+01  14.8543 < 2.2e-16 ***      
                iis532         4.7677e+02  1.8436e+01  25.8608 < 2.2e-16 ***      
                iis533         2.9842e+02  1.8197e+01  16.3989 < 2.2e-16 ***      
                iis534         1.9105e+02  1.8330e+01  10.4229 < 2.2e-16 ***      
                iis539         1.6830e+02  1.8378e+01   9.1574 < 2.2e-16 ***      
                iis541        -6.2915e+01  1.8561e+01  -3.3897 0.0007607 ***      
                iis543        -1.7499e+02  2.3465e+01  -7.4574 4.501e-13 ***      
                fesisDEU.2007  1.1152e+02  1.7422e+01   6.4010 3.846e-10 ***      
                fesisDEU.2009 -5.2519e+01  1.9506e+01  -2.6925 0.0073527 **       
                fesisDEU.2012 -9.9379e+01  1.2340e+01  -8.0535 7.108e-15 ***      
                fesisJPN.2012 -8.0732e+01  9.3964e+00  -8.5918 < 2.2e-16 ***      
                fesisKOR.2007  8.9795e+01  1.7010e+01   5.2789 2.016e-07 ***      
                fesisKOR.2012 -1.1285e+02  1.4696e+01  -7.6786 9.927e-14 ***      
                fesisKOR.2016  5.5840e+01  2.0329e+01   2.7468 0.0062564 **       
                fesisUSA.2006 -9.2910e+01  1.3549e+01  -6.8571 2.300e-11 ***      
                fesisUSA.2018  1.3986e+02  1.8963e+01   7.3752 7.828e-13 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   11.856  1 0.0005748 ***      
                Ljung-Box ARCH(1) 27.326  1 1.719e-07 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    16.20723      
                R-squared            0.99622      
                Log-lik.(n=543)  -2238.98717      

Log Count

AR 0

0.01

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 11:35:34 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 567       
                Sample: 1 to 567       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error   t-stat   p-value          
                lgdp            1.920437   0.150424  12.7668 < 2.2e-16 ***      
                lpop           -0.034469   0.523019  -0.0659 0.9474813          
                idAUT           2.485973   0.442904   5.6129 3.318e-08 ***      
                idBEL           1.324595   0.310681   4.2635 2.411e-05 ***      
                idBRA          -4.910829   1.131464  -4.3402 1.726e-05 ***      
                idCAN          -1.095381   0.278529  -3.9327 9.597e-05 ***      
                idCHE           1.851966   0.487364   3.8000 0.0001627 ***      
                idCHN          -5.935245   1.996080  -2.9735 0.0030883 **       
                idDEU           0.291506   0.702431   0.4150 0.6783246          
                idDNK          -2.539233   0.715413  -3.5493 0.0004231 ***      
                idESP          -0.272361   0.454353  -0.5994 0.5491478          
                idFIN           2.555620   0.640107   3.9925 7.530e-05 ***      
                idFRA          -1.178376   0.605026  -1.9476 0.0520226 .        
                idGBR          -0.367366   0.588563  -0.6242 0.5328005          
                idIND          -8.759286   1.906838  -4.5936 5.533e-06 ***      
                idISR           0.031072   0.514876   0.0603 0.9519026          
                idITA          -1.766563   0.590946  -2.9894 0.0029345 **       
                idJPN          -8.868866   0.926633  -9.5711 < 2.2e-16 ***      
                idKOR         -12.956829   0.869209 -14.9065 < 2.2e-16 ***      
                idNLD           0.250128   0.286850   0.8720 0.3836397          
                idNOR          -3.505113   0.815829  -4.2964 2.091e-05 ***      
                idRUS          -8.825166   0.930129  -9.4881 < 2.2e-16 ***      
                idSGP           0.910115   0.667493   1.3635 0.1733503          
                idSWE          -2.896260   0.508765  -5.6927 2.145e-08 ***      
                idUSA          -2.493573   1.274264  -1.9569 0.0509240 .        
                time1995      -50.368857   7.527781  -6.6911 6.010e-11 ***      
                time1996      -50.179423   7.529882  -6.6640 7.118e-11 ***      
                time1997      -50.250432   7.527016  -6.6760 6.605e-11 ***      
                time1998      -50.134146   7.530173  -6.6578 7.402e-11 ***      
                time1999      -49.964068   7.529787  -6.6355 8.503e-11 ***      
                time2000      -49.945196   7.533694  -6.6296 8.824e-11 ***      
                time2001      -49.882557   7.539956  -6.6158 9.615e-11 ***      
                time2002      -49.767479   7.543508  -6.5974 1.078e-10 ***      
                time2003      -49.542275   7.547054  -6.5645 1.321e-10 ***      
                time2004      -49.527142   7.547225  -6.5623 1.339e-10 ***      
                time2005      -49.293539   7.550464  -6.5285 1.648e-10 ***      
                time2006      -49.106511   7.555566  -6.4994 1.971e-10 ***      
                time2007      -48.824228   7.557647  -6.4602 2.503e-10 ***      
                time2008      -48.541744   7.562613  -6.4186 3.223e-10 ***      
                time2009      -48.236978   7.566793  -6.3748 4.201e-10 ***      
                time2010      -48.250688   7.570001  -6.3739 4.224e-10 ***      
                time2011      -48.364159   7.573027  -6.3864 3.918e-10 ***      
                time2012      -48.456927   7.577342  -6.3950 3.720e-10 ***      
                time2013      -48.777425   7.581212  -6.4340 2.937e-10 ***      
                time2014      -48.912797   7.584391  -6.4491 2.678e-10 ***      
                time2015      -49.049678   7.587627  -6.4644 2.440e-10 ***      
                time2016      -49.085959   7.591936  -6.4655 2.424e-10 ***      
                time2017      -49.158699   7.594728  -6.4727 2.320e-10 ***      
                time2018      -49.255740   7.597401  -6.4832 2.176e-10 ***      
                time2019      -49.480289   7.599960  -6.5106 1.840e-10 ***      
                iis79          -1.039669   0.369603  -2.8129 0.0051043 **       
                iis213         -1.372885   0.361794  -3.7947 0.0001662 ***      
                iis352         -1.090580   0.386288  -2.8232 0.0049458 **       
                iis504         -1.518098   0.354872  -4.2779 2.265e-05 ***      
                fesisAUS.2005  -0.814227   0.147617  -5.5158 5.603e-08 ***      
                fesisAUT.1998  -0.605587   0.217254  -2.7875 0.0055164 **       
                fesisAUT.2016  -0.511442   0.190215  -2.6888 0.0074136 **       
                fesisBRA.2014   1.017048   0.198170   5.1322 4.121e-07 ***      
                fesisCHE.2001  -0.791170   0.164016  -4.8238 1.879e-06 ***      
                fesisCHN.2016   0.954688   0.220355   4.3325 1.786e-05 ***      
                fesisESP.2005   0.452949   0.148242   3.0555 0.0023683 **       
                fesisFIN.1997  -1.232543   0.262860  -4.6890 3.556e-06 ***      
                fesisFIN.2012   0.761417   0.152403   4.9961 8.127e-07 ***      
                fesisFRA.2001   0.669070   0.173980   3.8457 0.0001359 ***      
                fesisFRA.2013   0.468323   0.164008   2.8555 0.0044775 **       
                fesisITA.2000   1.241600   0.192813   6.4394 2.842e-10 ***      
                fesisKOR.2004   0.794361   0.208194   3.8155 0.0001531 ***      
                fesisKOR.2008   0.839893   0.199621   4.2074 3.067e-05 ***      
                fesisNLD.1997   1.308133   0.283053   4.6215 4.866e-06 ***      
                fesisNLD.2003  -0.675244   0.165358  -4.0835 5.172e-05 ***      
                fesisRUS.2005  -0.938297   0.168644  -5.5638 4.330e-08 ***      
                fesisSWE.2002  -0.559824   0.155508  -3.6000 0.0003503 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df p-value        
                Ljung-Box AR(1)   3.8130  1 0.05086 .      
                Ljung-Box ARCH(1) 5.7017  1 0.01695 *      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.33495      
                R-squared           0.96291      
                Log-lik.(n=567)  -148.36913      
0.05

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 11:35:27 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 567       
                Sample: 1 to 567       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error   t-stat   p-value          
                lgdp            1.79421   0.17874  10.0379 < 2.2e-16 ***      
                lpop            1.01549   0.54264   1.8714 0.0619002 .        
                idAUT           3.25497   0.41967   7.7559 5.357e-14 ***      
                idBEL           1.84079   0.29450   6.2505 9.087e-10 ***      
                idBRA          -7.13998   1.14618  -6.2294 1.029e-09 ***      
                idCAN          -1.48569   0.27814  -5.3415 1.430e-07 ***      
                idCHE           2.79598   0.47814   5.8477 9.260e-09 ***      
                idCHN         -10.25050   2.03075  -5.0476 6.374e-07 ***      
                idDEU          -1.07534   0.70860  -1.5176 0.1297889          
                idDNK          -1.05212   0.74580  -1.4107 0.1589738          
                idESP          -0.91303   0.47636  -1.9167 0.0558773 .        
                idFIN           3.74112   0.61202   6.1127 2.038e-09 ***      
                idFRA          -2.53502   0.62000  -4.0887 5.090e-05 ***      
                idGBR          -1.49711   0.60196  -2.4870 0.0132216 *        
                idIND         -12.52884   1.88505  -6.6464 8.225e-11 ***      
                idISR           1.06068   0.51737   2.0501 0.0408983 *        
                idITA          -2.12817   0.57959  -3.6719 0.0002680 ***      
                idJPN         -10.03771   0.92904 -10.8044 < 2.2e-16 ***      
                idKOR         -12.55882   0.99108 -12.6719 < 2.2e-16 ***      
                idNLD           0.42690   0.25973   1.6436 0.1009093          
                idNOR          -1.24957   0.89231  -1.4004 0.1620527          
                idRUS         -10.51377   0.89619 -11.7317 < 2.2e-16 ***      
                idSGP           2.74672   0.71706   3.8305 0.0001450 ***      
                idSWE          -3.04257   0.61011  -4.9869 8.606e-07 ***      
                idUSA          -5.26539   1.25657  -4.1903 3.320e-05 ***      
                time1995      -64.47475   7.28278  -8.8530 < 2.2e-16 ***      
                time1996      -64.40452   7.28524  -8.8404 < 2.2e-16 ***      
                time1997      -64.34282   7.28205  -8.8358 < 2.2e-16 ***      
                time1998      -64.19848   7.28310  -8.8147 < 2.2e-16 ***      
                time1999      -64.06173   7.28601  -8.7924 < 2.2e-16 ***      
                time2000      -64.04649   7.28798  -8.7880 < 2.2e-16 ***      
                time2001      -63.94698   7.29099  -8.7707 < 2.2e-16 ***      
                time2002      -63.79692   7.29414  -8.7463 < 2.2e-16 ***      
                time2003      -63.61127   7.29746  -8.7169 < 2.2e-16 ***      
                time2004      -63.56223   7.29998  -8.7072 < 2.2e-16 ***      
                time2005      -63.41963   7.30280  -8.6843 < 2.2e-16 ***      
                time2006      -63.24812   7.30576  -8.6573 < 2.2e-16 ***      
                time2007      -62.96003   7.30684  -8.6166 < 2.2e-16 ***      
                time2008      -62.66362   7.31184  -8.5702 < 2.2e-16 ***      
                time2009      -62.42738   7.31615  -8.5328 < 2.2e-16 ***      
                time2010      -62.44519   7.31907  -8.5318 < 2.2e-16 ***      
                time2011      -62.56100   7.32191  -8.5444 < 2.2e-16 ***      
                time2012      -62.66144   7.32601  -8.5533 < 2.2e-16 ***      
                time2013      -62.98621   7.32954  -8.5935 < 2.2e-16 ***      
                time2014      -63.12162   7.33251  -8.6085 < 2.2e-16 ***      
                time2015      -63.26358   7.33559  -8.6242 < 2.2e-16 ***      
                time2016      -63.32464   7.33923  -8.6282 < 2.2e-16 ***      
                time2017      -63.36833   7.34210  -8.6308 < 2.2e-16 ***      
                time2018      -63.46589   7.34462  -8.6411 < 2.2e-16 ***      
                time2019      -63.76267   7.34664  -8.6792 < 2.2e-16 ***      
                iis48          -0.77335   0.30817  -2.5095 0.0124201 *        
                iis49          -0.83980   0.30818  -2.7251 0.0066652 **       
                iis79          -1.00644   0.32437  -3.1027 0.0020313 **       
                iis88           0.80541   0.32910   2.4473 0.0147539 *        
                iis91          -0.99827   0.30981  -3.2222 0.0013592 **       
                iis93          -1.04949   0.30885  -3.3980 0.0007356 ***      
                iis190         -1.11205   0.30925  -3.5960 0.0003568 ***      
                iis213         -1.04752   0.34776  -3.0122 0.0027316 **       
                iis244         -0.68698   0.31151  -2.2053 0.0279059 *        
                iis352         -1.83217   0.32359  -5.6621 2.586e-08 ***      
                iis355         -1.50373   0.32016  -4.6968 3.460e-06 ***      
                iis356         -0.97644   0.31975  -3.0537 0.0023865 **       
                iis404         -0.75507   0.31885  -2.3681 0.0182762 *        
                iis405         -0.77948   0.31964  -2.4386 0.0151079 *        
                iis407         -0.72423   0.31775  -2.2792 0.0230935 *        
                iis409         -1.03893   0.31780  -3.2691 0.0011567 **       
                iis504         -1.29261   0.31715  -4.0757 5.372e-05 ***      
                fesisAUS.2005  -0.85015   0.13234  -6.4239 3.219e-10 ***      
                fesisAUT.1998  -0.63354   0.19081  -3.3203 0.0009681 ***      
                fesisBRA.2014   0.89704   0.18249   4.9155 1.220e-06 ***      
                fesisCHE.2001  -0.81675   0.14513  -5.6278 3.118e-08 ***      
                fesisCHN.2004   0.51795   0.19174   2.7013 0.0071527 **       
                fesisCHN.2016   0.91896   0.19509   4.7105 3.246e-06 ***      
                fesisESP.2001  -0.59195   0.21403  -2.7657 0.0059001 **       
                fesisESP.2005   0.84744   0.19263   4.3993 1.341e-05 ***      
                fesisFIN.1997  -1.22820   0.23303  -5.2705 2.065e-07 ***      
                fesisFIN.2012   0.79732   0.13581   5.8708 8.131e-09 ***      
                fesisFRA.1998   0.63891   0.19953   3.2021 0.0014556 **       
                fesisFRA.2009   0.66718   0.13028   5.1210 4.419e-07 ***      
                fesisITA.2006   0.72895   0.13934   5.2314 2.524e-07 ***      
                fesisKOR.2008   0.98218   0.17242   5.6964 2.143e-08 ***      
                fesisKOR.2013   0.43575   0.17702   2.4616 0.0141860 *        
                fesisNLD.1997   1.21223   0.24954   4.8579 1.612e-06 ***      
                fesisNLD.2003  -0.60459   0.14571  -4.1493 3.949e-05 ***      
                fesisNOR.1998  -0.72524   0.19027  -3.8117 0.0001561 ***      
                fesisRUS.2005  -0.73451   0.15823  -4.6421 4.464e-06 ***      
                fesisSGP.2006  -0.66105   0.18872  -3.5028 0.0005038 ***      
                fesisSWE.1996   1.25627   0.32905   3.8178 0.0001524 ***      
                fesisSWE.2002  -0.70894   0.14460  -4.9028 1.297e-06 ***      
                fesisUSA.2005   0.43970   0.12640   3.4786 0.0005503 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df p-value        
                Ljung-Box AR(1)   0.29958  1 0.58415        
                Ljung-Box ARCH(1) 2.89139  1 0.08905 .      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.29392      
                R-squared          0.97248      
                Log-lik.(n=567)  -65.28002      

AR 1

0.01

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 11:36:32 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 543       
                Sample: 1 to 543       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error  t-stat   p-value          
                ar1             0.371461   0.034726 10.6969 < 2.2e-16 ***      
                lgdp            1.439164   0.150529  9.5607 < 2.2e-16 ***      
                lpop           -1.472643   0.519019 -2.8374 0.0047439 **       
                idAUT           0.235314   0.436506  0.5391 0.5900809          
                idBEL           0.223126   0.325905  0.6846 0.4939090          
                idBRA           0.015194   1.155257  0.0132 0.9895120          
                idCAN           0.115574   0.288113  0.4011 0.6884957          
                idCHE          -0.425867   0.478935 -0.8892 0.3743495          
                idCHN           1.770968   2.036441  0.8696 0.3849381          
                idDEU           2.058547   0.710000  2.8994 0.0039128 **       
                idDNK          -3.479124   0.712814 -4.8808 1.446e-06 ***      
                idESP           0.930755   0.449973  2.0685 0.0391378 *        
                idFIN          -0.392814   0.638999 -0.6147 0.5390254          
                idFRA           1.298285   0.596664  2.1759 0.0300554 *        
                idGBR           1.340460   0.589202  2.2750 0.0233491 *        
                idIND          -0.449169   1.980689 -0.2268 0.8206972          
                idISR          -1.284618   0.515568 -2.4917 0.0130557 *        
                idITA           1.150328   0.562821  2.0439 0.0415195 *        
                idJPN          -4.287478   0.999649 -4.2890 2.176e-05 ***      
                idKOR          -8.473037   0.939641 -9.0173 < 2.2e-16 ***      
                idNLD          -0.434722   0.375894 -1.1565 0.2480589          
                idNOR          -4.406363   0.807906 -5.4541 7.941e-08 ***      
                idRUS          -3.384906   1.018505 -3.3234 0.0009581 ***      
                idSGP          -1.041296   0.681042 -1.5290 0.1269378          
                idSWE          -2.899586   0.508258 -5.7050 2.052e-08 ***      
                idUSA           1.809119   1.308718  1.3824 0.1675123          
                time1996      -13.525916   8.030225 -1.6844 0.0927674 .        
                time1997      -13.654453   8.031950 -1.7000 0.0897837 .        
                time1998      -13.609665   8.026140 -1.6957 0.0906055 .        
                time1999      -13.434952   8.030767 -1.6729 0.0949999 .        
                time2000      -13.438867   8.027733 -1.6741 0.0947794 .        
                time2001      -13.417040   8.034083 -1.6700 0.0955766 .        
                time2002      -13.321829   8.037107 -1.6575 0.0980719 .        
                time2003      -13.243867   8.039578 -1.6473 0.1001522          
                time2004      -13.229906   8.039102 -1.6457 0.1004895          
                time2005      -13.062961   8.040495 -1.6246 0.1049027          
                time2006      -12.927082   8.044995 -1.6068 0.1087537          
                time2007      -12.704200   8.045819 -1.5790 0.1150073          
                time2008      -12.516541   8.047372 -1.5554 0.1205283          
                time2009      -12.345584   8.048423 -1.5339 0.1257181          
                time2010      -12.426779   8.050656 -1.5436 0.1233590          
                time2011      -12.523787   8.053922 -1.5550 0.1206153          
                time2012      -12.560490   8.057759 -1.5588 0.1197095          
                time2013      -12.829894   8.061682 -1.5915 0.1121714          
                time2014      -12.832119   8.067541 -1.5906 0.1123695          
                time2015      -12.929989   8.071534 -1.6019 0.1098384          
                time2016      -12.840597   8.076512 -1.5899 0.1125310          
                time2017      -12.949162   8.079132 -1.6028 0.1096469          
                time2018      -13.018574   8.082418 -1.6107 0.1079048          
                time2019      -13.166641   8.086879 -1.6281 0.1041578          
                iis75          -1.015679   0.371668 -2.7328 0.0065154 **       
                iis86          -1.296190   0.351820 -3.6842 0.0002558 ***      
                iis88          -1.353849   0.349360 -3.8752 0.0001215 ***      
                iis181         -1.081849   0.349741 -3.0933 0.0020964 **       
                iis203         -1.129091   0.368849 -3.0611 0.0023303 **       
                iis217         -1.180577   0.349949 -3.3736 0.0008028 ***      
                iis225         -1.081364   0.348108 -3.1064 0.0020074 **       
                iis339         -1.683021   0.349355 -4.8175 1.959e-06 ***      
                iis439         -1.254779   0.348025 -3.6054 0.0003447 ***      
                iis478         -0.972678   0.351701 -2.7656 0.0059029 **       
                iis482         -1.919100   0.354843 -5.4083 1.011e-07 ***      
                fesisAUS.2005  -0.408532   0.153286 -2.6652 0.0079578 **       
                fesisBRA.2014   0.717682   0.209190  3.4308 0.0006545 ***      
                fesisESP.2003   0.492584   0.165841  2.9702 0.0031269 **       
                fesisKOR.2003   0.955183   0.162738  5.8695 8.224e-09 ***      
                fesisNLD.1997   1.908661   0.419125  4.5539 6.704e-06 ***      
                fesisNLD.1999  -0.972038   0.253604 -3.8329 0.0001437 ***      
                fesisRUS.2004  -0.801129   0.180097 -4.4483 1.079e-05 ***      
                fesisSWE.2001  -0.596184   0.173257 -3.4410 0.0006308 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df  p-value         
                Ljung-Box AR(1)   4.5349  1 0.033211 *       
                Ljung-Box ARCH(1) 9.1904  1 0.002433 **      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.33200      
                R-squared           0.96188      
                Log-lik.(n=543)  -137.26616      
0.05

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 11:36:29 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 543       
                Sample: 1 to 543       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error  t-stat   p-value          
                ar1             0.322794   0.033486  9.6398 < 2.2e-16 ***      
                lgdp            1.374607   0.151905  9.0491 < 2.2e-16 ***      
                lpop           -0.457116   0.512577 -0.8918 0.3729775          
                idAUT           1.618467   0.455580  3.5525 0.0004219 ***      
                idBEL           0.751786   0.306752  2.4508 0.0146346 *        
                idBRA          -2.328079   1.138651 -2.0446 0.0414776 *        
                idCAN          -0.341006   0.286206 -1.1915 0.2340981          
                idCHE           0.549239   0.460556  1.1926 0.2336736          
                idCHN          -2.309755   1.993347 -1.1587 0.2471814          
                idDEU           0.826904   0.691218  1.1963 0.2322112          
                idDNK          -2.135318   0.698320 -3.0578 0.0023629 **       
                idESP           0.268063   0.445996  0.6010 0.5481140          
                idFIN           1.239412   0.614352  2.0174 0.0442452 *        
                idFRA           0.061184   0.589454  0.1038 0.9173762          
                idGBR           0.286574   0.578781  0.4951 0.6207477          
                idIND          -4.379204   1.926155 -2.2735 0.0234646 *        
                idISR          -0.255086   0.499665 -0.5105 0.6099416          
                idITA           0.130314   0.553761  0.2353 0.8140636          
                idJPN          -5.587227   0.956383 -5.8420 9.914e-09 ***      
                idKOR          -8.821413   0.920804 -9.5801 < 2.2e-16 ***      
                idNLD           1.638398   0.250404  6.5430 1.647e-10 ***      
                idNOR          -2.905621   0.794423 -3.6575 0.0002849 ***      
                idRUS          -5.362213   0.978931 -5.4776 7.192e-08 ***      
                idSGP           0.700690   0.728371  0.9620 0.3365699          
                idSWE          -2.057371   0.497049 -4.1392 4.164e-05 ***      
                idUSA          -0.567505   1.269671 -0.4470 0.6551124          
                time1996      -28.718967   7.711431 -3.7242 0.0002209 ***      
                time1997      -28.838843   7.711197 -3.7399 0.0002079 ***      
                time1998      -28.741790   7.706122 -3.7297 0.0002162 ***      
                time1999      -28.625740   7.709638 -3.7130 0.0002306 ***      
                time2000      -28.612412   7.710380 -3.7109 0.0002324 ***      
                time2001      -28.518479   7.712572 -3.6977 0.0002445 ***      
                time2002      -28.595608   7.716194 -3.7059 0.0002369 ***      
                time2003      -28.370317   7.716578 -3.6765 0.0002650 ***      
                time2004      -28.374218   7.719527 -3.6756 0.0002659 ***      
                time2005      -28.168185   7.720377 -3.6486 0.0002947 ***      
                time2006      -28.049105   7.720843 -3.6329 0.0003126 ***      
                time2007      -27.814514   7.720661 -3.6026 0.0003502 ***      
                time2008      -27.616352   7.721698 -3.5765 0.0003861 ***      
                time2009      -27.456158   7.722997 -3.5551 0.0004179 ***      
                time2010      -27.549430   7.725366 -3.5661 0.0004012 ***      
                time2011      -27.649386   7.728374 -3.5776 0.0003844 ***      
                time2012      -27.671871   7.732922 -3.5784 0.0003833 ***      
                time2013      -27.991694   7.736637 -3.6181 0.0003305 ***      
                time2014      -28.011628   7.742623 -3.6178 0.0003308 ***      
                time2015      -28.119575   7.747467 -3.6295 0.0003166 ***      
                time2016      -28.042973   7.752360 -3.6173 0.0003314 ***      
                time2017      -28.153063   7.754712 -3.6304 0.0003155 ***      
                time2018      -28.227989   7.757816 -3.6387 0.0003059 ***      
                time2019      -28.493218   7.762507 -3.6706 0.0002711 ***      
                iis8            0.642782   0.307472  2.0905 0.0371313 *        
                iis27          -0.969002   0.302108 -3.2075 0.0014348 **       
                iis50           0.975922   0.301182  3.2403 0.0012828 **       
                iis75          -0.986431   0.316273 -3.1189 0.0019319 **       
                iis84           0.679552   0.317531  2.1401 0.0328836 *        
                iis86          -1.238634   0.318739 -3.8860 0.0001172 ***      
                iis87           0.712049   0.315153  2.2594 0.0243388 *        
                iis88          -1.282472   0.314535 -4.0774 5.388e-05 ***      
                iis179          0.756332   0.300740  2.5149 0.0122550 *        
                iis181         -1.114219   0.298891 -3.7278 0.0002178 ***      
                iis189         -1.016484   0.298160 -3.4092 0.0007103 ***      
                iis217         -1.134472   0.298016 -3.8068 0.0001603 ***      
                iis222         -1.174848   0.340093 -3.4545 0.0006037 ***      
                iis225         -0.802810   0.303694 -2.6435 0.0084929 **       
                iis244          0.772483   0.309703  2.4943 0.0129804 *        
                iis246         -0.730100   0.306400 -2.3828 0.0175951 *        
                iis297          0.921566   0.300590  3.0659 0.0023014 **       
                iis339         -1.758476   0.299365 -5.8740 8.290e-09 ***      
                iis409         -1.897331   0.358089 -5.2985 1.834e-07 ***      
                iis435         -0.855877   0.300100 -2.8520 0.0045453 **       
                iis439         -1.145167   0.297592 -3.8481 0.0001363 ***      
                iis461          0.803409   0.321082  2.5022 0.0126974 *        
                iis478         -0.765869   0.300861 -2.5456 0.0112425 *        
                iis482         -1.731521   0.307497 -5.6310 3.163e-08 ***      
                iis520         -0.948155   0.300081 -3.1597 0.0016862 **       
                fesisAUS.2005  -0.444294   0.138725 -3.2027 0.0014583 **       
                fesisAUT.1998  -0.485715   0.222071 -2.1872 0.0292424 *        
                fesisAUT.2015  -0.535984   0.162479 -3.2988 0.0010483 **       
                fesisAUT.2019   0.983367   0.324136  3.0338 0.0025549 **       
                fesisBRA.2014   0.683308   0.186091  3.6719 0.0002697 ***      
                fesisCAN.2005  -0.909292   0.313490 -2.9005 0.0039081 **       
                fesisCAN.2006   0.917386   0.299780  3.0602 0.0023444 **       
                fesisCHN.2015   0.573036   0.182371  3.1421 0.0017882 **       
                fesisESP.2001  -0.883447   0.244676 -3.6107 0.0003398 ***      
                fesisESP.2003   1.244362   0.220590  5.6411 2.995e-08 ***      
                fesisFIN.2000  -0.711499   0.192290 -3.7001 0.0002422 ***      
                fesisFIN.2012   0.491986   0.143225  3.4351 0.0006474 ***      
                fesisFRA.2009   0.435098   0.124494  3.4949 0.0005213 ***      
                fesisKOR.2004   0.739030   0.161841  4.5664 6.417e-06 ***      
                fesisKOR.2010   0.445993   0.154202  2.8923 0.0040107 **       
                fesisNLD.1999  -0.928960   0.217831 -4.2646 2.443e-05 ***      
                fesisRUS.2004  -0.574936   0.168789 -3.4062 0.0007179 ***      
                fesisSGP.2006  -0.534345   0.201238 -2.6553 0.0082058 **       
                fesisSWE.2001  -0.590914   0.148955 -3.9671 8.467e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df p-value      
                Ljung-Box AR(1)   1.51519  1  0.2183      
                Ljung-Box ARCH(1) 0.74523  1  0.3880      
                                                
                SE of regression   0.28244      
                R-squared          0.97387      
                Log-lik.(n=543)  -36.97895      

without IIS

Count

0

0.01

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 11:37:36 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 567       
                Sample: 1 to 567       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                gdp            2.5029e-13  4.9621e-14   5.0442 6.376e-07 ***      
                pop            1.9301e-08  8.4275e-08   0.2290 0.8189470          
                idAUT         -1.4272e+01  1.2789e+01  -1.1159 0.2650039          
                idBEL         -1.8792e+01  1.2774e+01  -1.4711 0.1418860          
                idBRA         -5.3906e+01  2.1371e+01  -2.5224 0.0119653 *        
                idCAN         -1.2364e+00  1.2783e+01  -0.0967 0.9229848          
                idCHE          1.4326e+00  1.2794e+01   0.1120 0.9108879          
                idCHN         -3.3531e+01  1.0719e+02  -0.3128 0.7545600          
                idDEU          7.0497e+01  2.0414e+01   3.4534 0.0006004 ***      
                idDNK         -3.4866e+01  1.3852e+01  -2.5171 0.0121433 *        
                idESP         -1.8142e-01  1.2888e+01  -0.0141 0.9887748          
                idFIN         -2.8434e+01  1.2813e+01  -2.2191 0.0269254 *        
                idFRA          4.9102e+01  1.3236e+01   3.7099 0.0002305 ***      
                idGBR          1.8643e+01  1.3193e+01   1.4130 0.1582616          
                idIND         -5.8792e+01  9.9859e+01  -0.5888 0.5562919          
                idISR         -3.2400e+00  1.3088e+01  -0.2476 0.8045809          
                idITA          1.3232e+01  1.3126e+01   1.0081 0.3139061          
                idJPN          1.7341e+02  2.9341e+01   5.9101 6.319e-09 ***      
                idKOR         -1.9295e+02  5.0962e+01  -3.7861 0.0001715 ***      
                idNLD         -2.2650e+00  1.2750e+01  -0.1776 0.8590700          
                idNOR         -3.0153e+01  1.2820e+01  -2.3521 0.0190539 *        
                idRUS         -5.1668e+01  1.6694e+01  -3.0950 0.0020779 **       
                idSGP         -3.5527e+01  1.4081e+01  -2.5230 0.0119421 *        
                idSWE         -2.4133e+01  1.2785e+01  -1.8876 0.0596543 .        
                idUSA          3.8374e+01  3.5345e+01   1.0857 0.2781416          
                time1995      -2.7018e-01  1.4257e+01  -0.0190 0.9848878          
                time1996       3.3402e-01  1.4244e+01   0.0235 0.9813003          
                time1997       4.8467e+00  1.3335e+01   0.3635 0.7164167          
                time1998       3.9608e+00  1.3307e+01   0.2976 0.7660943          
                time1999       1.0572e+01  1.3140e+01   0.8045 0.4214775          
                time2000       1.4475e+01  1.3141e+01   1.1015 0.2712100          
                time2001       1.6397e+01  1.3148e+01   1.2471 0.2129527          
                time2002       1.1140e+01  1.3169e+01   0.8459 0.3979994          
                time2003       1.6499e+01  1.3180e+01   1.2518 0.2112251          
                time2004       2.5510e+01  1.2903e+01   1.9770 0.0485853 *        
                time2005       3.7716e+01  1.3060e+01   2.8879 0.0040452 **       
                time2006       2.8407e+01  1.3100e+01   2.1684 0.0305955 *        
                time2007       4.0919e+01  1.3118e+01   3.1194 0.0019163 **       
                time2008       4.8685e+01  1.3026e+01   3.7377 0.0002071 ***      
                time2009       8.3979e+01  1.3061e+01   6.4297 2.981e-10 ***      
                time2010       8.4848e+01  1.3069e+01   6.4925 2.032e-10 ***      
                time2011       8.1168e+01  1.3080e+01   6.2053 1.143e-09 ***      
                time2012       7.8944e+01  1.3071e+01   6.0396 3.009e-09 ***      
                time2013       6.6472e+01  1.3091e+01   5.0778 5.389e-07 ***      
                time2014       3.9776e+01  1.3110e+01   3.0339 0.0025388 **       
                time2015       5.3989e+01  1.3112e+01   4.1175 4.478e-05 ***      
                time2016       5.1882e+01  1.3128e+01   3.9520 8.862e-05 ***      
                time2017       3.9046e+01  1.3151e+01   2.9690 0.0031310 **       
                time2018       3.9962e+01  1.3175e+01   3.0333 0.0025446 **       
                time2019       7.4716e+00  1.3196e+01   0.5662 0.5715001          
                fesisCHN.2006  1.6175e+02  2.1882e+01   7.3920 6.096e-13 ***      
                fesisCHN.2016  5.0472e+02  2.7580e+01  18.3001 < 2.2e-16 ***      
                fesisDEU.2002  8.9137e+01  2.7050e+01   3.2953 0.0010528 **       
                fesisDEU.2007  4.0821e+02  2.7949e+01  14.6053 < 2.2e-16 ***      
                fesisDEU.2013 -3.4197e+02  2.5666e+01 -13.3235 < 2.2e-16 ***      
                fesisJPN.2008  5.9609e+02  3.5036e+01  17.0139 < 2.2e-16 ***      
                fesisJPN.2010  5.8640e+02  4.6032e+01  12.7389 < 2.2e-16 ***      
                fesisJPN.2012 -4.8949e+02  4.2050e+01 -11.6409 < 2.2e-16 ***      
                fesisJPN.2015 -4.3048e+02  3.3656e+01 -12.7906 < 2.2e-16 ***      
                fesisKOR.2009  4.0886e+02  3.6037e+01  11.3455 < 2.2e-16 ***      
                fesisUSA.1998  1.1035e+02  3.1398e+01   3.5145 0.0004805 ***      
                fesisUSA.2006  5.0620e+02  3.6464e+01  13.8821 < 2.2e-16 ***      
                fesisUSA.2008  5.4935e+02  3.9923e+01  13.7602 < 2.2e-16 ***      
                fesisUSA.2012 -3.3680e+02  3.2587e+01 -10.3354 < 2.2e-16 ***      
                fesisUSA.2016 -3.3323e+02  3.2595e+01 -10.2233 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    9.8748  1  0.001676 **       
                Ljung-Box ARCH(1) 75.0058  1 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    45.05579      
                R-squared            0.96801      
                Log-lik.(n=567)  -2931.11824      
0.05

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 11:37:35 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 567       
                Sample: 1 to 567       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                gdp            2.4680e-13  4.2936e-14   5.7481 1.580e-08 ***      
                pop           -5.6299e-08  7.3483e-08  -0.7662 0.4439501          
                idAUT         -1.5252e+01  1.1034e+01  -1.3823 0.1675144          
                idBEL         -1.9590e+01  1.1020e+01  -1.7776 0.0760778 .        
                idBRA         -4.2997e+01  1.8494e+01  -2.3249 0.0204805 *        
                idCAN         -3.3849e-01  1.1028e+01  -0.0307 0.9755260          
                idCHE          4.0558e-01  1.1038e+01   0.0367 0.9707041          
                idCHN          6.5584e+01  9.3549e+01   0.7011 0.4835908          
                idDEU          7.8847e+01  1.7677e+01   4.4604 1.013e-05 ***      
                idDNK         -3.7182e+01  1.1958e+01  -3.1094 0.0019824 **       
                idESP          1.5404e+00  1.1121e+01   0.1385 0.8898929          
                idFIN         -9.7466e+00  1.3828e+01  -0.7048 0.4812503          
                idFRA          5.2314e+01  1.1427e+01   4.5782 5.939e-06 ***      
                idGBR          2.1708e+01  1.1389e+01   1.9059 0.0572361 .        
                idIND          3.0681e+01  8.7057e+01   0.3524 0.7246680          
                idISR         -4.3352e+00  1.1293e+01  -0.3839 0.7012264          
                idITA          1.6056e+01  1.1330e+01   1.4171 0.1570936          
                idJPN          8.5490e+01  4.5891e+01   1.8629 0.0630718 .        
                idKOR         -1.8581e+02  4.4088e+01  -4.2146 2.975e-05 ***      
                idNLD         -2.6320e+00  1.0999e+01  -0.2393 0.8109764          
                idNOR         -9.8204e+00  1.3833e+01  -0.7099 0.4780918          
                idRUS         -1.5834e+01  1.7660e+01  -0.8966 0.3703709          
                idSGP         -3.8174e+01  1.2158e+01  -3.1398 0.0017915 **       
                idSWE         -2.5027e+01  1.1030e+01  -2.2690 0.0236959 *        
                idUSA          5.9311e+01  3.0686e+01   1.9329 0.0538242 .        
                time1995       3.9839e+00  1.2542e+01   0.3176 0.7508894          
                time1996      -1.7855e+00  1.2314e+01  -0.1450 0.8847779          
                time1997       1.1299e+00  1.1538e+01   0.0979 0.9220303          
                time1998       1.8967e-01  1.1514e+01   0.0165 0.9868636          
                time1999       7.2399e+00  1.1365e+01   0.6370 0.5244067          
                time2000       1.1276e+01  1.1365e+01   0.9921 0.3216268          
                time2001       1.3311e+01  1.1371e+01   1.1706 0.2423152          
                time2002       8.1875e+00  1.1388e+01   0.7190 0.4724995          
                time2003       1.3665e+01  1.1397e+01   1.1990 0.2310964          
                time2004       2.3274e+01  1.1151e+01   2.0873 0.0373744 *        
                time2005       3.5363e+01  1.1289e+01   3.1326 0.0018354 **       
                time2006       2.9109e+01  1.1335e+01   2.5682 0.0105155 *        
                time2007       4.7580e+01  1.1363e+01   4.1872 3.344e-05 ***      
                time2008       6.4959e+01  1.1352e+01   5.7223 1.822e-08 ***      
                time2009       8.2858e+01  1.1389e+01   7.2751 1.364e-12 ***      
                time2010       9.2628e+01  1.1336e+01   8.1711 2.571e-15 ***      
                time2011       8.9051e+01  1.1348e+01   7.8476 2.638e-14 ***      
                time2012       7.8011e+01  1.1326e+01   6.8879 1.726e-11 ***      
                time2013       6.5566e+01  1.1345e+01   5.7795 1.327e-08 ***      
                time2014       3.8981e+01  1.1362e+01   3.4309 0.0006520 ***      
                time2015       4.9235e+01  1.1380e+01   4.3263 1.835e-05 ***      
                time2016       6.8678e+01  1.1397e+01   6.0259 3.287e-09 ***      
                time2017       3.7702e+01  1.1420e+01   3.3014 0.0010315 **       
                time2018       4.9592e+01  1.1465e+01   4.3254 1.842e-05 ***      
                time2019       1.7185e+01  1.1484e+01   1.4964 0.1351746          
                fesisCHN.2006  9.9696e+01  2.1328e+01   4.6745 3.805e-06 ***      
                fesisCHN.2012  1.9529e+02  2.4261e+01   8.0494 6.225e-15 ***      
                fesisCHN.2017  4.3793e+02  2.9098e+01  15.0502 < 2.2e-16 ***      
                fesisDEU.2002  8.8966e+01  2.3339e+01   3.8119 0.0001553 ***      
                fesisDEU.2007  4.0010e+02  2.4168e+01  16.5550 < 2.2e-16 ***      
                fesisDEU.2013 -3.3988e+02  2.2148e+01 -15.3458 < 2.2e-16 ***      
                fesisFIN.2007 -3.8260e+01  1.6123e+01  -2.3730 0.0180232 *        
                fesisJPN.1996  1.0900e+02  4.1725e+01   2.6123 0.0092681 **       
                fesisJPN.2008  3.6825e+02  4.1399e+01   8.8951 < 2.2e-16 ***      
                fesisJPN.2009  4.2128e+02  5.6154e+01   7.5021 2.933e-13 ***      
                fesisJPN.2010  3.7552e+02  4.8631e+01   7.7217 6.407e-14 ***      
                fesisJPN.2012 -4.8077e+02  3.6291e+01 -13.2477 < 2.2e-16 ***      
                fesisJPN.2015 -3.3290e+02  3.2438e+01 -10.2626 < 2.2e-16 ***      
                fesisJPN.2018 -2.6108e+02  3.6257e+01  -7.2006 2.242e-12 ***      
                fesisKOR.2009  4.0736e+02  3.1210e+01  13.0522 < 2.2e-16 ***      
                fesisNOR.2007 -4.1482e+01  1.6121e+01  -2.5732 0.0103655 *        
                fesisRUS.2007 -4.6570e+01  1.6955e+01  -2.7467 0.0062391 **       
                fesisUSA.1998  1.1405e+02  2.7103e+01   4.2081 3.058e-05 ***      
                fesisUSA.2006  5.0060e+02  3.1468e+01  15.9083 < 2.2e-16 ***      
                fesisUSA.2008  5.4595e+02  3.4450e+01  15.8475 < 2.2e-16 ***      
                fesisUSA.2012 -3.2654e+02  2.8135e+01 -11.6060 < 2.2e-16 ***      
                fesisUSA.2016 -3.4312e+02  2.8116e+01 -12.2035 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   13.132  1 0.0002903 ***      
                Ljung-Box ARCH(1) 18.450  1 1.744e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    38.86764      
                R-squared            0.97653      
                Log-lik.(n=567)  -2843.85003      

1

0.01

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 11:37:31 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 543       
                Sample: 1 to 543       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            9.3663e-01  1.6383e-02  57.1717 < 2.2e-16 ***      
                gdp            2.3985e-14  4.3237e-14   0.5547  0.579337          
                pop            2.6732e-08  4.8925e-08   0.5464  0.585057          
                idAUT         -9.5171e-01  7.0522e+00  -0.1350  0.892707          
                idBEL         -1.7742e+00  7.0453e+00  -0.2518  0.801286          
                idBRA         -7.7836e+00  1.2228e+01  -0.6365  0.524733          
                idCAN         -6.8170e-01  7.0449e+00  -0.0968  0.922954          
                idCHE          2.5614e-01  7.0520e+00   0.0363  0.971041          
                idCHN         -1.8422e+01  6.3242e+01  -0.2913  0.770956          
                idDEU          2.3242e+01  9.6563e+00   2.4070  0.016465 *        
                idDNK         -3.3310e+00  7.6876e+00  -0.4333  0.664999          
                idESP         -5.1663e-01  7.1103e+00  -0.0727  0.942107          
                idFIN         -1.9367e+00  7.0775e+00  -0.2736  0.784477          
                idFRA          4.4034e+00  7.3573e+00   0.5985  0.549788          
                idGBR          1.9063e-01  7.2994e+00   0.0261  0.979176          
                idIND         -3.5265e+01  5.7925e+01  -0.6088  0.542949          
                idISR          6.8356e-01  7.2208e+00   0.0947  0.924620          
                idITA          1.5001e-01  7.2553e+00   0.0207  0.983512          
                idJPN          2.4867e+01  2.2482e+01   1.1061  0.269247          
                idKOR         -1.5863e+01  4.1935e+01  -0.3783  0.705386          
                idNLD          6.6980e-01  7.0250e+00   0.0953  0.924081          
                idNOR         -2.3615e+00  7.0849e+00  -0.3333  0.739046          
                idRUS         -8.4366e+00  9.4279e+00  -0.8949  0.371317          
                idSGP         -3.4405e+00  7.8248e+00  -0.4397  0.660356          
                idSWE         -1.6558e+00  7.0584e+00  -0.2346  0.814630          
                idUSA          2.6629e+01  1.6032e+01   1.6610  0.097369 .        
                time1996      -3.3338e+00  7.7321e+00  -0.4312  0.666540          
                time1997      -3.2919e+00  7.7216e+00  -0.4263  0.670069          
                time1998      -2.4262e-01  7.2521e+00  -0.0335  0.973326          
                time1999       2.5235e+00  7.2413e+00   0.3485  0.727628          
                time2000       1.5962e+00  7.1505e+00   0.2232  0.823453          
                time2001      -8.1600e-01  7.2383e+00  -0.1127  0.910289          
                time2002      -3.4565e+00  7.1566e+00  -0.4830  0.629329          
                time2003       2.6573e+00  7.1615e+00   0.3711  0.710762          
                time2004       5.1173e+00  7.0943e+00   0.7213  0.471063          
                time2005       1.1703e+01  7.1098e+00   1.6461  0.100408          
                time2006       8.3038e+00  7.1231e+00   1.1658  0.244294          
                time2007       7.8245e+00  7.1791e+00   1.0899  0.276307          
                time2008       2.5100e+01  7.2152e+00   3.4787  0.000550 ***      
                time2009       2.1075e+01  7.2222e+00   2.9181  0.003689 **       
                time2010       1.1660e+01  7.3453e+00   1.5874  0.113091          
                time2011       1.3722e+00  7.3941e+00   0.1856  0.852848          
                time2012      -4.1621e+00  7.3931e+00  -0.5630  0.573720          
                time2013      -3.5537e+00  7.3052e+00  -0.4865  0.626865          
                time2014      -1.0979e+01  7.2504e+00  -1.5143  0.130612          
                time2015       3.2137e+00  7.1700e+00   0.4482  0.654207          
                time2016       7.1928e-01  7.2426e+00   0.0993  0.920931          
                time2017      -4.1734e+00  7.2064e+00  -0.5791  0.562779          
                time2018       8.6403e+00  7.2037e+00   1.1994  0.230954          
                time2019      -9.1702e+00  7.2578e+00  -1.2635  0.207030          
                fesisCHN.2015  1.6896e+02  1.5514e+01  10.8907 < 2.2e-16 ***      
                fesisCHN.2019 -3.7877e+02  2.8731e+01 -13.1830 < 2.2e-16 ***      
                fesisDEU.2007  1.4948e+02  1.9475e+01   7.6753 9.427e-14 ***      
                fesisDEU.2009 -9.2168e+01  2.3197e+01  -3.9732 8.189e-05 ***      
                fesisDEU.2012 -2.3273e+02  2.2717e+01 -10.2446 < 2.2e-16 ***      
                fesisDEU.2014  1.3542e+02  2.0965e+01   6.4594 2.600e-10 ***      
                fesisJPN.2008  2.3732e+02  2.6022e+01   9.1200 < 2.2e-16 ***      
                fesisJPN.2009  1.9141e+02  3.1333e+01   6.1088 2.088e-09 ***      
                fesisJPN.2011 -4.2576e+02  3.2023e+01 -13.2955 < 2.2e-16 ***      
                fesisJPN.2012 -2.7363e+02  3.5172e+01  -7.7797 4.551e-14 ***      
                fesisJPN.2013  1.7025e+02  2.8676e+01   5.9368 5.606e-09 ***      
                fesisKOR.2007  1.3368e+02  2.2593e+01   5.9169 6.275e-09 ***      
                fesisKOR.2012 -1.6149e+02  1.9521e+01  -8.2726 1.325e-15 ***      
                fesisKOR.2016  2.6368e+02  2.8326e+01   9.3090 < 2.2e-16 ***      
                fesisKOR.2017 -3.0270e+02  2.9081e+01 -10.4088 < 2.2e-16 ***      
                fesisUSA.2006  2.4736e+02  1.7525e+01  14.1151 < 2.2e-16 ***      
                fesisUSA.2010 -3.1112e+02  1.5128e+01 -20.5655 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   51.259  1 8.095e-13 ***      
                Ljung-Box ARCH(1) 63.859  1 1.332e-15 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    24.32153      
                R-squared            0.99108      
                Log-lik.(n=543)  -2469.89323      
0.05

                Formula: count~ gdp + pop      
                 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 11:37:30 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 543       
                Sample: 1 to 543       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            9.2997e-01  1.6817e-02  55.2977 < 2.2e-16 ***      
                gdp            2.1156e-14  3.4853e-14   0.6070 0.5441446          
                pop            3.0725e-08  3.9137e-08   0.7851 0.4328121          
                idAUT         -1.0026e+00  5.6324e+00  -0.1780 0.8587965          
                idBEL         -1.8616e+00  5.6282e+00  -0.3308 0.7409661          
                idBRA         -8.6013e+00  9.8086e+00  -0.8769 0.3809818          
                idCAN         -7.3158e-01  5.6252e+00  -0.1301 0.8965792          
                idCHE          3.1491e-01  5.6309e+00   0.0559 0.9554250          
                idCHN         -2.3029e+01  5.0558e+01  -0.4555 0.6489602          
                idDEU          2.3486e+01  7.7609e+00   3.0261 0.0026135 **       
                idDNK         -3.5027e+00  6.1480e+00  -0.5697 0.5691385          
                idESP         -6.0799e-01  5.6775e+00  -0.1071 0.9147664          
                idFIN         -2.0731e+00  5.6579e+00  -0.3664 0.7142308          
                idFRA          4.5678e+00  5.8915e+00   0.7753 0.4385413          
                idGBR          1.6337e-01  5.8301e+00   0.0280 0.9776568          
                idIND         -3.9905e+01  4.6351e+01  -0.8609 0.3897159          
                idISR          7.0521e-01  5.7656e+00   0.1223 0.9027039          
                idITA          9.9298e-02  5.7939e+00   0.0171 0.9863335          
                idJPN          2.7484e+01  1.8095e+01   1.5189 0.1294653          
                idKOR         -1.3353e+01  3.3785e+01  -0.3952 0.6928539          
                idNLD          6.6549e-01  5.6093e+00   0.1186 0.9056104          
                idNOR         -2.4938e+00  5.6646e+00  -0.4403 0.6599592          
                idRUS         -8.9432e+00  7.5694e+00  -1.1815 0.2380054          
                idSGP         -3.6181e+00  6.2577e+00  -0.5782 0.5634249          
                idSWE         -1.7627e+00  5.6410e+00  -0.3125 0.7548166          
                idUSA          2.6319e+01  1.2819e+01   2.0532 0.0406076 *        
                time1996      -3.4537e+00  6.1746e+00  -0.5593 0.5761966          
                time1997      -3.3936e+00  6.1660e+00  -0.5504 0.5823282          
                time1998      -3.0531e-01  5.7909e+00  -0.0527 0.9579759          
                time1999       2.4924e+00  5.7822e+00   0.4311 0.6666251          
                time2000       1.6219e+00  5.7102e+00   0.2840 0.7765056          
                time2001      -7.6159e-01  5.7808e+00  -0.1317 0.8952424          
                time2002      -3.3754e+00  5.7161e+00  -0.5905 0.5551427          
                time2003       2.7373e+00  5.7197e+00   0.4786 0.6324699          
                time2004       5.2434e+00  5.6678e+00   0.9251 0.3553777          
                time2005       1.1885e+01  5.6830e+00   2.0913 0.0370383 *        
                time2006       9.9327e+00  5.7164e+00   1.7376 0.0829443 .        
                time2007       9.2206e+00  5.7600e+00   1.6008 0.1100966          
                time2008       1.9820e+01  5.8199e+00   3.4056 0.0007171 ***      
                time2009       2.5560e+01  5.7654e+00   4.4334 1.157e-05 ***      
                time2010       3.5393e+00  5.9332e+00   0.5965 0.5511151          
                time2011       3.4566e+00  5.9718e+00   0.5788 0.5629919          
                time2012      -2.0168e+00  5.9591e+00  -0.3384 0.7351845          
                time2013      -1.5106e+00  5.8783e+00  -0.2570 0.7973044          
                time2014      -9.0664e+00  5.8211e+00  -1.5575 0.1200288          
                time2015      -2.0242e+00  5.7975e+00  -0.3492 0.7271312          
                time2016       4.3093e+00  5.8300e+00   0.7392 0.4601783          
                time2017       2.4783e+00  5.8320e+00   0.4250 0.6710676          
                time2018      -5.8054e-01  5.8812e+00  -0.0987 0.9214102          
                time2019      -3.6148e+00  5.9066e+00  -0.6120 0.5408394          
                fesisCHN.2015  1.7251e+02  1.2893e+01  13.3794 < 2.2e-16 ***      
                fesisCHN.2019 -3.8258e+02  2.3418e+01 -16.3374 < 2.2e-16 ***      
                fesisDEU.2007  1.5315e+02  1.5710e+01   9.7483 < 2.2e-16 ***      
                fesisDEU.2009 -9.1225e+01  1.8869e+01  -4.8347 1.812e-06 ***      
                fesisDEU.2012 -2.3555e+02  1.8152e+01 -12.9766 < 2.2e-16 ***      
                fesisDEU.2014  1.3445e+02  1.7172e+01   7.8296 3.301e-14 ***      
                fesisJPN.2008  2.4412e+02  2.0854e+01  11.7059 < 2.2e-16 ***      
                fesisJPN.2009  1.9115e+02  2.5561e+01   7.4782 3.749e-13 ***      
                fesisJPN.2011 -4.2541e+02  2.6320e+01 -16.1630 < 2.2e-16 ***      
                fesisJPN.2012 -2.7405e+02  2.8089e+01  -9.7565 < 2.2e-16 ***      
                fesisJPN.2013  1.6700e+02  2.4038e+01   6.9472 1.254e-11 ***      
                fesisKOR.2007  1.3868e+02  1.8290e+01   7.5820 1.845e-13 ***      
                fesisKOR.2012 -1.6017e+02  1.5807e+01 -10.1329 < 2.2e-16 ***      
                fesisKOR.2016  2.5978e+02  2.2690e+01  11.4491 < 2.2e-16 ***      
                fesisKOR.2017 -3.7515e+02  2.8349e+01 -13.2332 < 2.2e-16 ***      
                fesisKOR.2018  2.0215e+02  2.8298e+01   7.1437 3.500e-12 ***      
                fesisKOR.2019 -1.7568e+02  2.8151e+01  -6.2406 9.771e-10 ***      
                fesisUSA.2006  2.1634e+02  1.6379e+01  13.2089 < 2.2e-16 ***      
                fesisUSA.2008  1.5689e+02  2.4878e+01   6.3065 6.614e-10 ***      
                fesisUSA.2009 -2.2633e+02  2.5389e+01  -8.9144 < 2.2e-16 ***      
                fesisUSA.2011 -2.4093e+02  1.7276e+01 -13.9455 < 2.2e-16 ***      
                fesisUSA.2015  1.6398e+02  2.2837e+01   7.1806 2.747e-12 ***      
                fesisUSA.2016 -2.0838e+02  2.4310e+01  -8.5717 < 2.2e-16 ***      
                fesisUSA.2018  1.7697e+02  2.4663e+01   7.1754 2.842e-12 ***      
                fesisUSA.2019 -1.7481e+02  2.8116e+01  -6.2176 1.119e-09 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   10.451  1  0.001226 **       
                Ljung-Box ARCH(1) 51.925  1 5.766e-13 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    19.41986      
                R-squared            0.99441      
                Log-lik.(n=543)  -2343.68247      

Log Count

0

0.01

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 11:37:36 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 567       
                Sample: 1 to 567       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error   t-stat   p-value          
                lgdp            1.91617   0.15526  12.3416 < 2.2e-16 ***      
                lpop            0.21858   0.53716   0.4069 0.6842487          
                idAUT           2.72000   0.45511   5.9766 4.345e-09 ***      
                idBEL           1.47523   0.31897   4.6249 4.782e-06 ***      
                idBRA          -5.63887   1.16021  -4.8602 1.574e-06 ***      
                idCAN          -1.22294   0.28631  -4.2714 2.327e-05 ***      
                idCHE           2.10500   0.50054   4.2055 3.090e-05 ***      
                idCHN          -6.98665   2.04835  -3.4109 0.0007002 ***      
                idDEU          -0.06429   0.72118  -0.0891 0.9290017          
                idDNK          -2.21456   0.73499  -3.0130 0.0027181 **       
                idESP          -0.28484   0.47363  -0.6014 0.5478424          
                idFIN           2.91207   0.65733   4.4302 1.159e-05 ***      
                idFRA          -1.46038   0.62130  -2.3505 0.0191359 *        
                idGBR          -0.65326   0.60455  -1.0806 0.2804121          
                idIND          -9.78137   1.95635  -4.9998 7.964e-07 ***      
                idISR           0.27984   0.52862   0.5294 0.5967752          
                idITA          -2.25168   0.60230  -3.7385 0.0002066 ***      
                idJPN          -9.31351   0.95182  -9.7849 < 2.2e-16 ***      
                idKOR         -13.15272   0.89612 -14.6773 < 2.2e-16 ***      
                idNLD           0.33141   0.29594   1.1198 0.2633242          
                idNOR          -3.14172   0.83845  -3.7471 0.0001999 ***      
                idRUS          -9.33469   0.95416  -9.7831 < 2.2e-16 ***      
                idSGP           1.17339   0.68676   1.7086 0.0881498 .        
                idSWE          -2.69665   0.52357  -5.1505 3.750e-07 ***      
                idUSA          -3.16973   1.30748  -2.4243 0.0156929 *        
                time1995      -54.55640   7.72051  -7.0664 5.391e-12 ***      
                time1996      -54.30391   7.72260  -7.0318 6.759e-12 ***      
                time1997      -54.36731   7.71961  -7.0428 6.294e-12 ***      
                time1998      -54.25129   7.72283  -7.0248 7.076e-12 ***      
                time1999      -54.07705   7.72254  -7.0025 8.181e-12 ***      
                time2000      -54.06930   7.72655  -6.9979 8.431e-12 ***      
                time2001      -53.97578   7.73269  -6.9802 9.454e-12 ***      
                time2002      -53.92449   7.73622  -6.9704 1.008e-11 ***      
                time2003      -53.63856   7.73996  -6.9301 1.307e-11 ***      
                time2004      -53.61564   7.74021  -6.9269 1.334e-11 ***      
                time2005      -53.41580   7.74360  -6.8981 1.607e-11 ***      
                time2006      -53.29656   7.74701  -6.8796 1.808e-11 ***      
                time2007      -52.95036   7.75097  -6.8314 2.460e-11 ***      
                time2008      -52.66388   7.75608  -6.7900 3.202e-11 ***      
                time2009      -52.36144   7.76037  -6.7473 4.196e-11 ***      
                time2010      -52.42020   7.76367  -6.7520 4.073e-11 ***      
                time2011      -52.49198   7.76676  -6.7585 3.908e-11 ***      
                time2012      -52.58681   7.77120  -6.7669 3.707e-11 ***      
                time2013      -52.90922   7.77518  -6.8049 2.913e-11 ***      
                time2014      -53.05264   7.77844  -6.8205 2.638e-11 ***      
                time2015      -53.19128   7.78176  -6.8354 2.399e-11 ***      
                time2016      -53.22962   7.78619  -6.8364 2.384e-11 ***      
                time2017      -53.30387   7.78906  -6.8434 2.279e-11 ***      
                time2018      -53.40236   7.79180  -6.8537 2.135e-11 ***      
                time2019      -53.62830   7.79442  -6.8803 1.800e-11 ***      
                fesisAUS.2005  -0.83932   0.15234  -5.5094 5.782e-08 ***      
                fesisAUT.1998  -0.62838   0.22433  -2.8012 0.0052891 **       
                fesisAUT.2016  -0.50994   0.19635  -2.5971 0.0096788 **       
                fesisBRA.2014   1.16695   0.19720   5.9174 6.089e-09 ***      
                fesisCHE.2001  -0.81184   0.16948  -4.7901 2.203e-06 ***      
                fesisCHN.2016   0.95972   0.22746   4.2194 2.911e-05 ***      
                fesisESP.2001  -0.80089   0.22987  -3.4841 0.0005375 ***      
                fesisESP.2005   1.05958   0.20101   5.2714 2.021e-07 ***      
                fesisFIN.1997  -1.26758   0.27128  -4.6726 3.833e-06 ***      
                fesisFIN.2012   0.76580   0.15731   4.8681 1.515e-06 ***      
                fesisFRA.2001   0.65387   0.17978   3.6371 0.0003045 ***      
                fesisFRA.2013   0.47032   0.16931   2.7779 0.0056774 **       
                fesisITA.2000   1.45261   0.18307   7.9346 1.406e-14 ***      
                fesisKOR.2004   0.79266   0.21492   3.6882 0.0002507 ***      
                fesisKOR.2008   0.83751   0.20604   4.0648 5.585e-05 ***      
                fesisNLD.1997   1.26690   0.29204   4.3381 1.741e-05 ***      
                fesisNLD.2003  -0.67259   0.17068  -3.9406 9.290e-05 ***      
                fesisRUS.2005  -0.90428   0.17396  -5.1983 2.940e-07 ***      
                fesisSWE.2002  -0.56434   0.16060  -3.5141 0.0004815 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df  p-value         
                Ljung-Box AR(1)   1.2461  1 0.264293         
                Ljung-Box ARCH(1) 9.7850  1 0.001759 **      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.34575      
                R-squared           0.96024      
                Log-lik.(n=567)  -167.86490      
0.05

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 11:37:34 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 567       
                Sample: 1 to 567       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error   t-stat   p-value          
                lgdp            1.608472   0.192600   8.3513 7.032e-16 ***      
                lpop            1.737957   0.573647   3.0297 0.0025781 **       
                idAUT           3.577969   0.442071   8.0937 4.644e-15 ***      
                idBEL           2.042518   0.310796   6.5719 1.278e-10 ***      
                idBRA          -8.743069   1.206972  -7.2438 1.713e-12 ***      
                idCAN          -1.894848   0.291441  -6.5016 1.968e-10 ***      
                idCHE           3.338444   0.503595   6.6292 8.959e-11 ***      
                idCHN         -12.772001   2.139015  -5.9710 4.545e-09 ***      
                idDEU          -1.970408   0.746715  -2.6388 0.0085868 **       
                idDNK          -0.121576   0.790212  -0.1539 0.8777899          
                idESP          -1.529124   0.505517  -3.0249 0.0026185 **       
                idFIN           4.246535   0.644132   6.5927 1.124e-10 ***      
                idFRA          -3.319173   0.655629  -5.0626 5.872e-07 ***      
                idGBR          -2.277267   0.635422  -3.5839 0.0003726 ***      
                idIND         -14.748416   1.982075  -7.4409 4.546e-13 ***      
                idISR           1.711456   0.546545   3.1314 0.0018441 **       
                idITA          -4.750703   0.688893  -6.8961 1.662e-11 ***      
                idJPN         -10.280238   0.985476 -10.4318 < 2.2e-16 ***      
                idKOR         -12.492041   1.053672 -11.8557 < 2.2e-16 ***      
                idNLD           0.359416   0.277638   1.2946 0.1960877          
                idNOR          -0.093307   0.945545  -0.0987 0.9214325          
                idRUS         -11.277200   0.942224 -11.9687 < 2.2e-16 ***      
                idSGP           3.552450   0.754823   4.7063 3.290e-06 ***      
                idSWE          -2.386553   0.649080  -3.6768 0.0002624 ***      
                idUSA          -6.759230   1.322074  -5.1126 4.571e-07 ***      
                time1995      -71.377161   7.651322  -9.3287 < 2.2e-16 ***      
                time1996      -71.299490   7.653440  -9.3160 < 2.2e-16 ***      
                time1997      -71.335152   7.649756  -9.3252 < 2.2e-16 ***      
                time1998      -71.171449   7.652262  -9.3007 < 2.2e-16 ***      
                time1999      -71.019595   7.654378  -9.2783 < 2.2e-16 ***      
                time2000      -71.000105   7.657498  -9.2720 < 2.2e-16 ***      
                time2001      -70.851840   7.660525  -9.2490 < 2.2e-16 ***      
                time2002      -70.798124   7.663864  -9.2379 < 2.2e-16 ***      
                time2003      -70.517329   7.667403  -9.1970 < 2.2e-16 ***      
                time2004      -70.552746   7.670538  -9.1979 < 2.2e-16 ***      
                time2005      -70.378573   7.673216  -9.1720 < 2.2e-16 ***      
                time2006      -70.249142   7.673829  -9.1544 < 2.2e-16 ***      
                time2007      -69.903377   7.677592  -9.1049 < 2.2e-16 ***      
                time2008      -69.620708   7.682463  -9.0623 < 2.2e-16 ***      
                time2009      -69.365062   7.687348  -9.0233 < 2.2e-16 ***      
                time2010      -69.422622   7.690454  -9.0271 < 2.2e-16 ***      
                time2011      -69.496281   7.693426  -9.0332 < 2.2e-16 ***      
                time2012      -69.600556   7.697738  -9.0417 < 2.2e-16 ***      
                time2013      -69.927878   7.701461  -9.0798 < 2.2e-16 ***      
                time2014      -70.066504   7.704631  -9.0941 < 2.2e-16 ***      
                time2015      -70.192915   7.708248  -9.1062 < 2.2e-16 ***      
                time2016      -70.258595   7.712086  -9.1102 < 2.2e-16 ***      
                time2017      -70.333877   7.714824  -9.1167 < 2.2e-16 ***      
                time2018      -70.458607   7.717354  -9.1299 < 2.2e-16 ***      
                time2019      -70.687475   7.719901  -9.1565 < 2.2e-16 ***      
                fesisAUS.2005  -0.903230   0.140988  -6.4064 3.511e-10 ***      
                fesisAUT.1998  -0.578825   0.206128  -2.8081 0.0051834 **       
                fesisAUT.2015  -0.408332   0.164614  -2.4805 0.0134545 *        
                fesisBRA.2014   0.944544   0.201658   4.6839 3.654e-06 ***      
                fesisBRA.2018   0.590120   0.278114   2.1219 0.0343521 *        
                fesisCHE.2001  -0.836998   0.155030  -5.3989 1.048e-07 ***      
                fesisCHN.2004   0.645357   0.206254   3.1289 0.0018593 **       
                fesisCHN.2016   1.001854   0.208631   4.8020 2.092e-06 ***      
                fesisESP.2001  -0.843349   0.209036  -4.0345 6.351e-05 ***      
                fesisESP.2005   1.065699   0.183766   5.7992 1.198e-08 ***      
                fesisFIN.1997  -1.173438   0.248626  -4.7197 3.090e-06 ***      
                fesisFIN.2012   0.822669   0.143337   5.7394 1.670e-08 ***      
                fesisFRA.1998   0.670426   0.213372   3.1420 0.0017797 **       
                fesisFRA.2009   0.635290   0.139216   4.5634 6.378e-06 ***      
                fesisITA.1996   1.669979   0.396903   4.2075 3.073e-05 ***      
                fesisITA.1998  -1.005204   0.323284  -3.1093 0.0019846 **       
                fesisITA.2000   1.303985   0.263124   4.9558 9.952e-07 ***      
                fesisITA.2006   0.630438   0.161554   3.9023 0.0001087 ***      
                fesisKOR.2004   0.880521   0.197556   4.4571 1.032e-05 ***      
                fesisKOR.2008   0.661979   0.216368   3.0595 0.0023390 **       
                fesisKOR.2013   0.446672   0.189168   2.3612 0.0186056 *        
                fesisNLD.1997   1.289381   0.266653   4.8354 1.783e-06 ***      
                fesisNLD.2003  -0.619414   0.155598  -3.9809 7.911e-05 ***      
                fesisNOR.1998  -0.722888   0.203367  -3.5546 0.0004154 ***      
                fesisRUS.2005  -0.638417   0.169389  -3.7689 0.0001840 ***      
                fesisSGP.2006  -0.834021   0.197808  -4.2163 2.960e-05 ***      
                fesisSWE.1996   1.317220   0.351483   3.7476 0.0001999 ***      
                fesisSWE.2002  -0.692486   0.154598  -4.4793 9.338e-06 ***      
                fesisUSA.2005   0.414656   0.134965   3.0723 0.0022426 **       
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df p-value        
                Ljung-Box AR(1)   0.4739  1  0.4912        
                Ljung-Box ARCH(1) 3.9419  1  0.0471 *      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.31401      
                R-squared           0.96787      
                Log-lik.(n=567)  -108.25784      

1

0.01

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 11:38:15 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 543       
                Sample: 1 to 543       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error  t-stat   p-value          
                ar1             0.3547216   0.0374694  9.4670 < 2.2e-16 ***      
                lgdp            1.4440402   0.1608944  8.9751 < 2.2e-16 ***      
                lpop           -0.7780164   0.5799898 -1.3414 0.1804188          
                idAUT           0.8161609   0.4935676  1.6536 0.0988678 .        
                idBEL           0.6229462   0.3664563  1.6999 0.0897980 .        
                idBRA          -1.8322845   1.2991624 -1.4104 0.1590857          
                idCAN           0.0042902   0.4597921  0.0093 0.9925591          
                idCHE           0.2166703   0.5389124  0.4021 0.6878266          
                idCHN          -1.1690404   2.3041804 -0.5074 0.6121393          
                idDEU           1.0824492   0.7976391  1.3571 0.1754019          
                idDNK          -2.6929258   0.7882039 -3.4165 0.0006885 ***      
                idESP           0.2292170   0.4929404  0.4650 0.6421440          
                idFIN           0.4380039   0.7230724  0.6058 0.5449663          
                idFRA           0.4735368   0.6691197  0.7077 0.4794765          
                idGBR           0.5359955   0.6593300  0.8129 0.4166582          
                idIND          -3.3524928   2.2470796 -1.4919 0.1363777          
                idISR          -0.6188883   0.5761463 -1.0742 0.2832824          
                idITA           0.1422775   0.6884351  0.2067 0.8363573          
                idJPN          -5.5801108   1.1334339 -4.9232 1.175e-06 ***      
                idKOR          -9.1363961   1.0303474 -8.8673 < 2.2e-16 ***      
                idNLD          -0.3427908   0.3980686 -0.8611 0.3895963          
                idNOR          -3.5255665   0.8918478 -3.9531 8.883e-05 ***      
                idRUS          -4.8413896   1.1596378 -4.1749 3.544e-05 ***      
                idSGP           0.3642548   0.8614775  0.4228 0.6726130          
                idSWE          -2.4085088   0.5541924 -4.3460 1.696e-05 ***      
                idUSA          -0.0704358   1.4814198 -0.0475 0.9620978          
                time1996      -25.2299459   9.1590430 -2.7546 0.0061001 **       
                time1997      -25.3421418   9.1593238 -2.7668 0.0058806 **       
                time1998      -25.3495273   9.1548778 -2.7690 0.0058425 **       
                time1999      -25.1405275   9.1600123 -2.7446 0.0062871 **       
                time2000      -25.2080972   9.1606929 -2.7518 0.0061532 **       
                time2001      -25.1212940   9.1637150 -2.7414 0.0063478 **       
                time2002      -25.1351914   9.1669876 -2.7419 0.0063376 **       
                time2003      -24.9543830   9.1700095 -2.7213 0.0067403 **       
                time2004      -25.0025605   9.1731488 -2.7256 0.0066540 **       
                time2005      -24.7875170   9.1743450 -2.7018 0.0071416 **       
                time2006      -24.6347040   9.1761743 -2.6846 0.0075136 **       
                time2007      -24.4069368   9.1763652 -2.6598 0.0080828 **       
                time2008      -24.2120624   9.1780573 -2.6380 0.0086112 **       
                time2009      -24.0410093   9.1790778 -2.6191 0.0090967 **       
                time2010      -24.1655772   9.1814855 -2.6320 0.0087637 **       
                time2011      -24.2248476   9.1853941 -2.6373 0.0086291 **       
                time2012      -24.2672325   9.1897804 -2.6407 0.0085454 **       
                time2013      -24.5424925   9.1942774 -2.6693 0.0078596 **       
                time2014      -24.5625605   9.2010337 -2.6695 0.0078545 **       
                time2015      -24.6664440   9.2056205 -2.6795 0.0076282 **       
                time2016      -24.6331773   9.2107448 -2.6744 0.0077434 **       
                time2017      -24.6967268   9.2143745 -2.6802 0.0076116 **       
                time2018      -24.7708250   9.2181628 -2.6872 0.0074576 **       
                time2019      -24.9643768   9.2219489 -2.7071 0.0070317 **       
                fesisAUS.2005  -0.5167971   0.1630463 -3.1696 0.0016244 **       
                fesisBRA.2014   0.9112489   0.2099930  4.3394 1.745e-05 ***      
                fesisCAN.1997  -1.5568695   0.5103759 -3.0504 0.0024123 **       
                fesisCAN.1998   2.0966127   0.5109456  4.1034 4.788e-05 ***      
                fesisCAN.1999  -2.1419032   0.5103000 -4.1973 3.222e-05 ***      
                fesisCAN.2000   1.2741595   0.3684217  3.4584 0.0005920 ***      
                fesisESP.2003   0.5292330   0.1646135  3.2150 0.0013929 **       
                fesisITA.1998  -1.4437876   0.4418128 -3.2679 0.0011618 **       
                fesisITA.1999   1.6986823   0.3694977  4.5973 5.489e-06 ***      
                fesisKOR.2003   0.9624220   0.1718988  5.5988 3.649e-08 ***      
                fesisNLD.1997   1.9218698   0.4416570  4.3515 1.655e-05 ***      
                fesisNLD.1999  -0.9635198   0.2673234 -3.6043 0.0003459 ***      
                fesisRUS.2004  -0.8378823   0.1888332 -4.4372 1.133e-05 ***      
                fesisSGP.2006  -2.3336478   0.4137373 -5.6404 2.911e-08 ***      
                fesisSGP.2007   1.7372495   0.3797533  4.5747 6.088e-06 ***      
                fesisSWE.2001  -0.6066716   0.1822871 -3.3281 0.0009420 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df  p-value         
                Ljung-Box AR(1)   8.0224  1 0.004620 **      
                Ljung-Box ARCH(1) 8.5047  1 0.003542 **      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.34922      
                R-squared           0.95756      
                Log-lik.(n=543)  -166.22402      
0.05

                Formula: log_count~ lgdp + lpop      
                 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 11:38:11 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 543       
                Sample: 1 to 543       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error  t-stat   p-value          
                ar1             0.271783   0.036960  7.3534 9.120e-13 ***      
                lgdp            1.446247   0.164500  8.7918 < 2.2e-16 ***      
                lpop           -0.253025   0.553837 -0.4569 0.6479923          
                idAUT           1.827718   0.494005  3.6998 0.0002423 ***      
                idBEL           0.894643   0.330206  2.7094 0.0069971 **       
                idBRA          -3.254428   1.232110 -2.6413 0.0085433 **       
                idCAN          -0.236147   0.412925 -0.5719 0.5676822          
                idCHE           0.727193   0.497819  1.4608 0.1447752          
                idCHN          -3.463998   2.157265 -1.6057 0.1090288          
                idDEU           0.510855   0.744447  0.6862 0.4929251          
                idDNK          -1.380320   0.804742 -1.7152 0.0869862 .        
                idESP           0.039667   0.478583  0.0829 0.9339795          
                idFIN           1.952625   0.719423  2.7142 0.0068981 **       
                idFRA          -0.577215   0.640966 -0.9005 0.3683119          
                idGBR          -0.018507   0.623729 -0.0297 0.9763424          
                idIND          -5.586413   2.086663 -2.6772 0.0076935 **       
                idISR          -0.121614   0.538744 -0.2257 0.8215090          
                idITA          -0.500337   0.645553 -0.7751 0.4387139          
                idJPN          -6.323512   1.036035 -6.1036 2.230e-09 ***      
                idKOR          -9.571805   1.000560 -9.5664 < 2.2e-16 ***      
                idNLD          -0.229588   0.350606 -0.6548 0.5129082          
                idNOR          -2.518533   0.897917 -2.8049 0.0052504 **       
                idRUS          -6.083992   1.062703 -5.7250 1.885e-08 ***      
                idSGP           0.971015   0.786583  1.2345 0.2176664          
                idSWE          -2.090097   0.536054 -3.8990 0.0001112 ***      
                idUSA          -2.155170   1.380208 -1.5615 0.1191084          
                time1996      -33.991599   8.375463 -4.0585 5.818e-05 ***      
                time1997      -34.034485   8.373467 -4.0646 5.673e-05 ***      
                time1998      -33.946760   8.367974 -4.0567 5.859e-05 ***      
                time1999      -33.844103   8.372260 -4.0424 6.216e-05 ***      
                time2000      -33.828975   8.372790 -4.0403 6.269e-05 ***      
                time2001      -33.743841   8.374855 -4.0292 6.564e-05 ***      
                time2002      -33.722395   8.377004 -4.0256 6.661e-05 ***      
                time2003      -33.522114   8.378811 -4.0008 7.372e-05 ***      
                time2004      -33.591307   8.381339 -4.0079 7.163e-05 ***      
                time2005      -33.358871   8.382326 -3.9797 8.035e-05 ***      
                time2006      -33.230786   8.382537 -3.9643 8.552e-05 ***      
                time2007      -32.987831   8.382069 -3.9355 9.606e-05 ***      
                time2008      -32.764625   8.382637 -3.9086 0.0001070 ***      
                time2009      -32.584153   8.383490 -3.8867 0.0001168 ***      
                time2010      -32.712072   8.385645 -3.9010 0.0001103 ***      
                time2011      -32.773251   8.389066 -3.9067 0.0001079 ***      
                time2012      -32.847807   8.394026 -3.9132 0.0001050 ***      
                time2013      -33.129762   8.398188 -3.9449 9.250e-05 ***      
                time2014      -33.180049   8.405123 -3.9476 9.149e-05 ***      
                time2015      -33.296656   8.410501 -3.9589 8.739e-05 ***      
                time2016      -33.275465   8.415369 -3.9541 8.911e-05 ***      
                time2017      -33.340322   8.418516 -3.9604 8.689e-05 ***      
                time2018      -33.419220   8.421938 -3.9681 8.421e-05 ***      
                time2019      -33.623269   8.426610 -3.9901 7.700e-05 ***      
                fesisAUS.2005  -0.555033   0.144399 -3.8437 0.0001385 ***      
                fesisAUT.1998  -1.468500   0.384238 -3.8219 0.0001510 ***      
                fesisAUT.1999   0.949339   0.323942  2.9306 0.0035543 **       
                fesisAUT.2015  -0.527633   0.174173 -3.0294 0.0025909 **       
                fesisAUT.2019   0.874383   0.346774  2.5215 0.0120283 *        
                fesisBRA.2014   1.009893   0.183286  5.5099 6.032e-08 ***      
                fesisCAN.1997  -1.557361   0.444237 -3.5057 0.0005008 ***      
                fesisCAN.1998   1.889304   0.445960  4.2365 2.752e-05 ***      
                fesisCAN.1999  -1.900843   0.443770 -4.2834 2.249e-05 ***      
                fesisCAN.2000   1.165477   0.342147  3.4064 0.0007170 ***      
                fesisCAN.2005  -0.801021   0.340715 -2.3510 0.0191508 *        
                fesisCAN.2006   0.901049   0.321376  2.8037 0.0052686 **       
                fesisCHN.2015   0.640035   0.195328  3.2767 0.0011309 **       
                fesisDNK.2003  -1.253809   0.380949 -3.2913 0.0010753 **       
                fesisDNK.2005   0.525533   0.234897  2.2373 0.0257532 *        
                fesisESP.2001  -0.939299   0.262447 -3.5790 0.0003821 ***      
                fesisESP.2003   1.230680   0.235564  5.2244 2.670e-07 ***      
                fesisFIN.1997  -1.619859   0.443855 -3.6495 0.0002933 ***      
                fesisFIN.1998   0.932528   0.386770  2.4111 0.0163031 *        
                fesisFIN.2000  -1.278080   0.380741 -3.3568 0.0008549 ***      
                fesisFIN.2001   0.758636   0.325705  2.3292 0.0202865 *        
                fesisFIN.2012   0.641787   0.147899  4.3394 1.764e-05 ***      
                fesisFRA.2001   0.393133   0.180635  2.1764 0.0300418 *        
                fesisFRA.2009   0.391037   0.146609  2.6672 0.0079224 **       
                fesisITA.1998  -1.481257   0.385718 -3.8403 0.0001404 ***      
                fesisITA.1999   1.826192   0.322572  5.6613 2.670e-08 ***      
                fesisKOR.2004   0.803085   0.173928  4.6173 5.071e-06 ***      
                fesisKOR.2010   0.503543   0.165426  3.0439 0.0024711 **       
                fesisNLD.1997   1.847600   0.385011  4.7988 2.171e-06 ***      
                fesisNLD.1999  -0.897053   0.233827 -3.8364 0.0001426 ***      
                fesisNOR.1998  -1.145496   0.384294 -2.9808 0.0030299 **       
                fesisNOR.1999   1.024357   0.360904  2.8383 0.0047391 **       
                fesisNOR.2002  -1.397569   0.358596 -3.8973 0.0001119 ***      
                fesisNOR.2003   1.134993   0.320810  3.5379 0.0004449 ***      
                fesisRUS.2004  -0.691433   0.169272 -4.0847 5.218e-05 ***      
                fesisRUS.2019  -0.795140   0.321921 -2.4700 0.0138793 *        
                fesisSGP.2006  -2.246684   0.359074 -6.2569 9.107e-10 ***      
                fesisSGP.2007   1.664899   0.330047  5.0444 6.595e-07 ***      
                fesisSWE.2001  -0.608701   0.160524 -3.7920 0.0001697 ***      
                fesisUSA.1997   0.904218   0.325018  2.7821 0.0056270 **       
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df p-value        
                Ljung-Box AR(1)   3.9485  1 0.04691 *      
                Ljung-Box ARCH(1) 3.5989  1 0.05782 .      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.30275      
                R-squared          0.96971      
                Log-lik.(n=543)  -76.68418      

Wind

with IIS

Count

AR 0

0.01

                Formula: count~ gdp + pop      
                 (1995:2020); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 11:14:02 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 624       
                Sample: 1 to 624       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                gdp            2.4440e-14  7.0064e-15   3.4883 0.0005268 ***      
                pop            1.6209e-07  3.2074e-08   5.0535 5.995e-07 ***      
                idAUT         -8.3594e+00  4.4222e+00  -1.8903 0.0592628 .        
                idBEL         -9.6979e+00  4.4137e+00  -2.1972 0.0284405 *        
                idBRA         -2.8950e+01  7.1852e+00  -4.0292 6.424e-05 ***      
                idCAN         -5.3051e+00  4.3998e+00  -1.2057 0.2284572          
                idCHE         -5.5226e-02  5.1236e+00  -0.0108 0.9914042          
                idCHN         -1.9153e+02  4.1308e+01  -4.6366 4.473e-06 ***      
                idDEU          7.7010e+01  6.3175e+00  12.1900 < 2.2e-16 ***      
                idDNK          2.0082e+02  5.9922e+00  33.5138 < 2.2e-16 ***      
                idESP          1.3066e+01  4.4358e+00   2.9455 0.0033674 **       
                idFIN         -1.3161e-01  5.1290e+00  -0.0257 0.9795381          
                idFRA         -4.8256e+00  4.5678e+00  -1.0564 0.2912484          
                idGBR          1.8030e+01  4.5517e+00   3.9612 8.484e-05 ***      
                idIND         -1.7221e+02  3.3780e+01  -5.0981 4.794e-07 ***      
                idISR         -3.1768e-01  5.0183e+00  -0.0633 0.9495483          
                idITA         -9.6439e+00  4.5245e+00  -2.1315 0.0335128 *        
                idJPN         -2.0583e+00  6.8241e+00  -0.3016 0.7630603          
                idKOR         -2.1797e+01  9.8426e+00  -2.2146 0.0272157 *        
                idNLD          1.3483e+00  4.3990e+00   0.3065 0.7593458          
                idNOR         -6.0698e+00  4.4362e+00  -1.3682 0.1718235          
                idRUS         -2.4256e+01  6.5408e+00  -3.7084 0.0002308 ***      
                idSGP         -7.2670e+00  4.4374e+00  -1.6377 0.1020855          
                idSWE          3.0818e+00  5.1200e+00   0.6019 0.5474945          
                idUSA         -2.8595e+01  1.0044e+01  -2.8471 0.0045849 **       
                time1995      -2.0933e+00  4.4131e+00  -0.4743 0.6354624          
                time1996      -2.0229e+00  4.4175e+00  -0.4579 0.6471925          
                time1997      -2.1081e+00  4.4228e+00  -0.4766 0.6338101          
                time1998      -2.6991e+00  4.4293e+00  -0.6094 0.5425367          
                time1999      -7.6441e-01  4.4355e+00  -0.1723 0.8632355          
                time2000      -1.3032e+00  4.4116e+00  -0.2954 0.7678078          
                time2001       1.4817e+00  4.4190e+00   0.3353 0.7375204          
                time2002       1.8224e+00  4.4268e+00   0.4117 0.6807389          
                time2003       3.6585e+00  4.4350e+00   0.8249 0.4097884          
                time2004       1.9452e+00  4.4491e+00   0.4372 0.6621425          
                time2005       3.0068e+00  4.4581e+00   0.6745 0.5003176          
                time2006       1.0854e+01  4.4199e+00   2.4557 0.0143835 *        
                time2007       1.6152e+01  4.5069e+00   3.5839 0.0003699 ***      
                time2008       2.6827e+01  4.6392e+00   5.7827 1.262e-08 ***      
                time2009       3.6054e+01  4.6454e+00   7.7612 4.413e-14 ***      
                time2010       3.6873e+01  4.7318e+00   7.7926 3.531e-14 ***      
                time2011       3.8486e+01  4.7412e+00   8.1173 3.400e-15 ***      
                time2012       3.2211e+01  4.7193e+00   6.8254 2.424e-11 ***      
                time2013       2.6809e+01  4.7275e+00   5.6708 2.347e-08 ***      
                time2014       2.4979e+01  4.7078e+00   5.3059 1.655e-07 ***      
                time2015       2.1181e+01  4.7188e+00   4.4886 8.813e-06 ***      
                time2016       2.1369e+01  4.7015e+00   4.5452 6.816e-06 ***      
                time2017       2.2875e+01  4.7003e+00   4.8666 1.503e-06 ***      
                time2018       1.6569e+01  4.7414e+00   3.4946 0.0005148 ***      
                time2019       1.2778e+01  4.7191e+00   2.7076 0.0069970 **       
                time2020       1.6988e+01  4.7245e+00   3.5958 0.0003539 ***      
                iis183        -8.1713e+01  1.3944e+01  -5.8602 8.162e-09 ***      
                iis184        -7.0155e+01  1.3942e+01  -5.0318 6.680e-07 ***      
                iis185        -7.6257e+01  1.3941e+01  -5.4700 6.970e-08 ***      
                iis186        -5.2670e+01  1.3940e+01  -3.7782 0.0001760 ***      
                iis187        -4.2114e+01  1.3939e+01  -3.0212 0.0026402 **       
                iis198         1.2388e+02  1.3689e+01   9.0502 < 2.2e-16 ***      
                iis199         1.2886e+02  1.3688e+01   9.4142 < 2.2e-16 ***      
                iis200         9.5280e+01  1.3675e+01   6.9675 9.684e-12 ***      
                iis206         6.7595e+01  1.3665e+01   4.9467 1.017e-06 ***      
                iis209        -1.9461e+02  1.3885e+01 -14.0166 < 2.2e-16 ***      
                iis210        -1.9652e+02  1.3881e+01 -14.1573 < 2.2e-16 ***      
                iis211        -1.9661e+02  1.3879e+01 -14.1663 < 2.2e-16 ***      
                iis212        -1.8052e+02  1.3877e+01 -13.0085 < 2.2e-16 ***      
                iis213        -1.8446e+02  1.3875e+01 -13.2948 < 2.2e-16 ***      
                iis214        -1.8693e+02  1.3862e+01 -13.4847 < 2.2e-16 ***      
                iis215        -1.8672e+02  1.3861e+01 -13.4709 < 2.2e-16 ***      
                iis216        -1.7756e+02  1.3859e+01 -12.8118 < 2.2e-16 ***      
                iis217        -1.8440e+02  1.3858e+01 -13.3063 < 2.2e-16 ***      
                iis218        -1.8719e+02  1.3859e+01 -13.5062 < 2.2e-16 ***      
                iis219        -1.7859e+02  1.3858e+01 -12.8864 < 2.2e-16 ***      
                iis220        -1.5061e+02  1.3858e+01 -10.8677 < 2.2e-16 ***      
                iis221        -8.7241e+01  1.3839e+01  -6.3037 6.155e-10 ***      
                iis224         5.7692e+01  1.3844e+01   4.1674 3.602e-05 ***      
                iis225         5.9659e+01  1.3843e+01   4.3096 1.952e-05 ***      
                iis227        -6.2588e+01  1.3829e+01  -4.5258 7.448e-06 ***      
                iis228        -6.7097e+01  1.3817e+01  -4.8560 1.582e-06 ***      
                iis229        -5.6807e+01  1.3817e+01  -4.1113 4.565e-05 ***      
                iis611         4.5387e+01  1.3952e+01   3.2530 0.0012153 **       
                iis612         9.6915e+01  1.3934e+01   6.9554 1.048e-11 ***      
                iis613         1.9655e+02  1.3933e+01  14.1069 < 2.2e-16 ***      
                iis614         2.0174e+02  1.3955e+01  14.4559 < 2.2e-16 ***      
                iis615         1.1870e+02  1.3955e+01   8.5063 < 2.2e-16 ***      
                iis616         6.4679e+01  1.3941e+01   4.6396 4.412e-06 ***      
                iis617         1.0372e+02  1.3940e+01   7.4405 4.115e-13 ***      
                fesisAUS.2008 -2.1913e+01  5.2098e+00  -4.2062 3.053e-05 ***      
                fesisBRA.2007 -2.5878e+01  5.2504e+00  -4.9287 1.111e-06 ***      
                fesisCHE.2007 -1.8406e+01  5.2351e+00  -3.5158 0.0004763 ***      
                fesisCHN.2017  7.1563e+01  7.6893e+00   9.3068 < 2.2e-16 ***      
                fesisDEU.2007  9.0059e+01  6.5029e+00  13.8491 < 2.2e-16 ***      
                fesisFIN.2007 -2.0408e+01  5.2364e+00  -3.8973 0.0001098 ***      
                fesisIND.2006 -4.2301e+01  8.7788e+00  -4.8185 1.895e-06 ***      
                fesisISR.2008 -2.0649e+01  5.2133e+00  -3.9608 8.500e-05 ***      
                fesisJPN.2010  5.4505e+01  5.2492e+00  10.3835 < 2.2e-16 ***      
                fesisRUS.2007 -1.8904e+01  5.2302e+00  -3.6145 0.0003299 ***      
                fesisSWE.2007 -1.9487e+01  5.2348e+00  -3.7225 0.0002185 ***      
                fesisUSA.2004  5.9705e+01  8.7021e+00   6.8610 1.928e-11 ***      
                fesisUSA.2007  6.7209e+01  9.0778e+00   7.4036 5.296e-13 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)   166.187  1 < 2.2e-16 ***      
                Ljung-Box ARCH(1)  94.357  1 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    12.75065      
                R-squared            0.96338      
                Log-lik.(n=624)  -2424.86089      
0.05

                Formula: count~ gdp + pop      
                 (1995:2020); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 11:14:00 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 624       
                Sample: 1 to 624       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                gdp            1.2636e-14  6.3011e-15   2.0053 0.0454536 *        
                pop            5.2841e-08  3.2724e-08   1.6147 0.1069816          
                idAUT         -9.2148e-01  4.4993e+00  -0.2048 0.8378056          
                idBEL         -2.1295e+00  4.3983e+00  -0.4842 0.6284753          
                idBRA         -1.1460e+01  6.8224e+00  -1.6798 0.0936097 .        
                idCAN          1.1080e+00  4.2676e+00   0.2596 0.7952608          
                idCHE         -1.1027e+00  4.5017e+00  -0.2450 0.8065885          
                idCHN         -6.7299e+01  4.0721e+01  -1.6527 0.0990090 .        
                idDEU          8.7434e+01  5.8920e+00  14.8395 < 2.2e-16 ***      
                idDNK          1.7757e+02  7.4499e+00  23.8350 < 2.2e-16 ***      
                idESP          1.1053e+01  3.9523e+00   2.7966 0.0053580 **       
                idFIN         -1.4069e+00  4.5082e+00  -0.3121 0.7551075          
                idFRA         -4.6758e+00  4.1141e+00  -1.1365 0.2562670          
                idGBR          1.7972e+01  4.0947e+00   4.3890 1.383e-05 ***      
                idIND         -5.9034e+01  3.4638e+01  -1.7043 0.0889314 .        
                idISR         -1.7343e+00  4.4088e+00  -0.3934 0.6942082          
                idITA         -1.0070e+01  4.0618e+00  -2.4792 0.0134893 *        
                idJPN          1.4523e+01  6.2931e+00   2.3078 0.0214071 *        
                idKOR         -8.1621e+00  8.7433e+00  -0.9335 0.3509859          
                idNLD         -3.6948e+00  3.8967e+00  -0.9482 0.3434859          
                idNOR         -7.3454e-01  4.4151e+00  -0.1664 0.8679314          
                idRUS         -9.5251e+00  6.1114e+00  -1.5586 0.1197114          
                idSGP         -3.5356e+00  4.2234e+00  -0.8371 0.4029092          
                idSWE          2.2483e+00  4.4972e+00   0.4999 0.6173434          
                idUSA          6.5403e-02  9.8271e+00   0.0067 0.9946925          
                time1995      -1.0672e+00  3.8781e+00  -0.2752 0.7832773          
                time1996      -7.6317e-01  3.8834e+00  -0.1965 0.8442820          
                time1997      -6.2384e-01  3.8898e+00  -0.1604 0.8726480          
                time1998      -1.0471e+00  3.8976e+00  -0.2687 0.7882977          
                time1999       1.1214e+00  3.9050e+00   0.2872 0.7740996          
                time2000       1.7286e+00  3.9132e+00   0.4417 0.6588769          
                time2001       3.6443e+00  3.8962e+00   0.9353 0.3500505          
                time2002       4.1934e+00  3.9055e+00   1.0737 0.2834517          
                time2003       6.2177e+00  3.9152e+00   1.5881 0.1128813          
                time2004       4.6069e+00  3.9296e+00   1.1724 0.2415964          
                time2005       4.8427e+00  3.9183e+00   1.2359 0.2170576          
                time2006       1.1048e+01  3.9281e+00   2.8126 0.0051019 **       
                time2007       2.1634e+01  3.9888e+00   5.4239 9.000e-08 ***      
                time2008       3.6224e+01  4.1664e+00   8.6944 < 2.2e-16 ***      
                time2009       4.5578e+01  4.1722e+00  10.9244 < 2.2e-16 ***      
                time2010       4.6942e+01  4.2743e+00  10.9824 < 2.2e-16 ***      
                time2011       4.9988e+01  4.3096e+00  11.5992 < 2.2e-16 ***      
                time2012       4.4457e+01  4.2955e+00  10.3495 < 2.2e-16 ***      
                time2013       3.9031e+01  4.3013e+00   9.0743 < 2.2e-16 ***      
                time2014       3.6331e+01  4.3128e+00   8.4240 3.678e-16 ***      
                time2015       3.3896e+01  4.2996e+00   7.8835 1.926e-14 ***      
                time2016       3.1935e+01  4.3194e+00   7.3933 5.868e-13 ***      
                time2017       3.5036e+01  4.3349e+00   8.0824 4.589e-15 ***      
                time2018       3.0234e+01  4.3466e+00   6.9559 1.072e-11 ***      
                time2019       2.5591e+01  4.3375e+00   5.8999 6.612e-09 ***      
                time2020       2.9180e+01  4.3418e+00   6.7206 4.828e-11 ***      
                iis181         2.9495e+01  1.4005e+01   2.1060 0.0356913 *        
                iis182         4.6287e+01  1.4007e+01   3.3045 0.0010179 **       
                iis183        -8.4212e+01  1.2365e+01  -6.8105 2.730e-11 ***      
                iis184        -7.2862e+01  1.2363e+01  -5.8934 6.859e-09 ***      
                iis185        -7.9175e+01  1.2362e+01  -6.4048 3.407e-10 ***      
                iis186        -5.5753e+01  1.2361e+01  -4.5105 8.024e-06 ***      
                iis187        -4.5425e+01  1.2360e+01  -3.6753 0.0002626 ***      
                iis188        -2.4539e+01  1.2359e+01  -1.9856 0.0476148 *        
                iis198         1.3315e+02  1.2148e+01  10.9603 < 2.2e-16 ***      
                iis199         1.3653e+02  1.2148e+01  11.2393 < 2.2e-16 ***      
                iis200         1.0222e+02  1.2138e+01   8.4215 3.749e-16 ***      
                iis204         4.7223e+01  1.2129e+01   3.8934 0.0001119 ***      
                iis205         3.8054e+01  1.2135e+01   3.1359 0.0018114 **       
                iis206         7.3393e+01  1.2136e+01   6.0477 2.832e-09 ***      
                iis209        -1.7180e+02  1.3284e+01 -12.9330 < 2.2e-16 ***      
                iis210        -1.7394e+02  1.3282e+01 -13.0961 < 2.2e-16 ***      
                iis211        -1.7424e+02  1.3280e+01 -13.1210 < 2.2e-16 ***      
                iis212        -1.5832e+02  1.3280e+01 -11.9223 < 2.2e-16 ***      
                iis213        -1.6249e+02  1.3278e+01 -12.2377 < 2.2e-16 ***      
                iis214        -1.6610e+02  1.3277e+01 -12.5108 < 2.2e-16 ***      
                iis215        -1.6502e+02  1.3268e+01 -12.4373 < 2.2e-16 ***      
                iis216        -1.5607e+02  1.3267e+01 -11.7633 < 2.2e-16 ***      
                iis217        -1.6309e+02  1.3267e+01 -12.2929 < 2.2e-16 ***      
                iis218        -1.6598e+02  1.3269e+01 -12.5095 < 2.2e-16 ***      
                iis219        -1.5655e+02  1.3262e+01 -11.8052 < 2.2e-16 ***      
                iis220        -1.2693e+02  1.3261e+01  -9.5715 < 2.2e-16 ***      
                iis221        -6.8850e+01  1.3224e+01  -5.2064 2.791e-07 ***      
                iis224         7.1504e+01  1.3224e+01   5.4073 9.822e-08 ***      
                iis225         7.2041e+01  1.3225e+01   5.4474 7.945e-08 ***      
                iis227        -5.0922e+01  1.3215e+01  -3.8533 0.0001313 ***      
                iis228        -5.4557e+01  1.3216e+01  -4.1281 4.269e-05 ***      
                iis229        -4.5624e+01  1.3209e+01  -3.4540 0.0005981 ***      
                iis611         5.3386e+01  1.2390e+01   4.3087 1.969e-05 ***      
                iis612         1.0131e+02  1.2366e+01   8.1927 2.049e-15 ***      
                iis613         2.0110e+02  1.2365e+01  16.2641 < 2.2e-16 ***      
                iis614         2.0603e+02  1.2376e+01  16.6475 < 2.2e-16 ***      
                iis615         1.2182e+02  1.2373e+01   9.8450 < 2.2e-16 ***      
                iis616         6.7304e+01  1.2365e+01   5.4430 8.133e-08 ***      
                iis617         1.0661e+02  1.2361e+01   8.6246 < 2.2e-16 ***      
                iis618         2.7182e+01  1.2361e+01   2.1991 0.0283167 *        
                fesisAUS.2008 -3.0898e+01  4.6945e+00  -6.5819 1.150e-10 ***      
                fesisAUT.2007 -2.4832e+01  4.7163e+00  -5.2651 2.064e-07 ***      
                fesisBEL.2008 -2.6473e+01  4.6984e+00  -5.6345 2.899e-08 ***      
                fesisBRA.2007 -3.2348e+01  4.7542e+00  -6.8040 2.845e-11 ***      
                fesisCAN.2010 -2.2702e+01  4.7180e+00  -4.8117 1.970e-06 ***      
                fesisCHE.2007 -2.7599e+01  4.7157e+00  -5.8525 8.644e-09 ***      
                fesisCHN.2005  2.3444e+01  5.7248e+00   4.0951 4.903e-05 ***      
                fesisCHN.2017  4.6675e+01  8.8978e+00   5.2456 2.282e-07 ***      
                fesisDEU.2007  6.9268e+01  6.3162e+00  10.9666 < 2.2e-16 ***      
                fesisDNK.2016  1.9726e+01  8.3740e+00   2.3556 0.0188680 *        
                fesisFIN.2007 -2.9673e+01  4.7166e+00  -6.2911 6.761e-10 ***      
                fesisIND.2007 -2.4746e+01  8.6251e+00  -2.8690 0.0042871 **       
                fesisISR.2008 -2.9889e+01  4.6968e+00  -6.3637 4.370e-10 ***      
                fesisJPN.2010  4.6158e+01  4.7017e+00   9.8173 < 2.2e-16 ***      
                fesisNOR.2008 -2.3248e+01  4.6984e+00  -4.9480 1.018e-06 ***      
                fesisRUS.2007 -2.8086e+01  4.7011e+00  -5.9744 4.322e-09 ***      
                fesisSGP.2011 -2.6154e+01  4.7759e+00  -5.4762 6.816e-08 ***      
                fesisSWE.2007 -2.8681e+01  4.7152e+00  -6.0826 2.313e-09 ***      
                fesisUSA.2004  6.1954e+01  7.6391e+00   8.1100 3.753e-15 ***      
                fesisUSA.2007  5.5919e+01  8.2592e+00   6.7706 3.519e-11 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)   130.759  1 < 2.2e-16 ***      
                Ljung-Box ARCH(1)  92.863  1 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    11.1885      
                R-squared            0.9725      
                Log-lik.(n=624)  -2336.8085      

AR 1

0.01

                Formula: count~ gdp + pop      
                 (1995:2020); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 11:13:52 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            8.5342e-01  1.4795e-02  57.6832 < 2.2e-16 ***      
                gdp            1.5547e-15  4.5875e-15   0.3389 0.7348269          
                pop            1.2380e-08  1.2640e-08   0.9794 0.3278280          
                idAUT          5.2975e-01  2.2602e+00   0.2344 0.8147815          
                idBEL          1.8499e-01  2.2582e+00   0.0819 0.9347404          
                idBRA         -2.9602e+00  3.1160e+00  -0.9500 0.3425491          
                idCAN          1.0879e+00  2.2619e+00   0.4810 0.6307515          
                idCHE          7.4749e-03  2.2608e+00   0.0033 0.9973633          
                idCHN         -9.3637e+00  1.6415e+01  -0.5704 0.5686383          
                idDEU          2.3182e+01  3.1818e+00   7.2859 1.199e-12 ***      
                idDNK          5.1423e+00  3.0318e+00   1.6961 0.0904609 .        
                idESP          3.5678e+00  2.3293e+00   1.5317 0.1262028          
                idFIN         -3.4386e-01  2.2636e+00  -0.1519 0.8793186          
                idFRA          2.4798e+00  2.3237e+00   1.0672 0.2863859          
                idGBR          6.1119e+00  2.3691e+00   2.5799 0.0101579 *        
                idIND         -1.3179e+01  1.5066e+01  -0.8747 0.3821231          
                idISR         -2.2255e-01  2.2613e+00  -0.0984 0.9216379          
                idITA          9.7310e-01  2.3046e+00   0.4222 0.6730287          
                idJPN          9.3899e+00  3.6471e+00   2.5746 0.0103117 *        
                idKOR          2.5059e+00  6.3724e+00   0.3932 0.6943040          
                idNLD          2.9105e+00  2.2606e+00   1.2875 0.1984947          
                idNOR          1.4723e+00  2.2640e+00   0.6503 0.5157813          
                idRUS         -1.9025e+00  2.7513e+00  -0.6915 0.4895520          
                idSGP          2.2475e-01  2.2641e+00   0.0993 0.9209634          
                idSWE          3.6912e-01  2.2595e+00   0.1634 0.8702959          
                idUSA          3.9416e+00  4.7358e+00   0.8323 0.4056257          
                time1996      -2.2927e+00  2.2728e+00  -1.0088 0.3135564          
                time1997      -3.0310e+00  2.2720e+00  -1.3341 0.1827604          
                time1998      -1.7524e+00  2.2733e+00  -0.7709 0.4411336          
                time1999      -3.1252e-01  2.2720e+00  -0.1376 0.8906478          
                time2000      -1.0602e+00  2.2699e+00  -0.4671 0.6406522          
                time2001       7.6339e-01  2.2696e+00   0.3364 0.7367421          
                time2002      -8.5545e-01  2.2687e+00  -0.3771 0.7062805          
                time2003       6.7844e-02  2.2695e+00   0.0299 0.9761635          
                time2004      -1.4352e+00  2.2756e+00  -0.6307 0.5285265          
                time2005      -5.6543e-01  2.2767e+00  -0.2484 0.8039573          
                time2006       4.3903e+00  2.2826e+00   1.9234 0.0549802 .        
                time2007       4.8390e+00  2.3218e+00   2.0841 0.0376365 *        
                time2008       8.4145e+00  2.3373e+00   3.6001 0.0003487 ***      
                time2009       1.0911e+01  2.3219e+00   4.6992 3.351e-06 ***      
                time2010       2.9181e+00  2.4037e+00   1.2140 0.2253095          
                time2011       6.2657e+00  2.3781e+00   2.6348 0.0086714 **       
                time2012      -3.9549e+00  2.4048e+00  -1.6446 0.1006625          
                time2013      -2.5930e+00  2.3907e+00  -1.0846 0.2785920          
                time2014      -1.2146e+00  2.3355e+00  -0.5201 0.6032452          
                time2015      -1.2739e+00  2.3157e+00  -0.5501 0.5824850          
                time2016      -2.3366e-01  2.3595e+00  -0.0990 0.9211556          
                time2017       3.6263e+00  2.3369e+00   1.5518 0.1213307          
                time2018      -3.2095e+00  2.3897e+00  -1.3430 0.1798442          
                time2019      -1.0762e+00  2.3673e+00  -0.4546 0.6495821          
                time2020       5.1383e+00  2.3681e+00   2.1698 0.0304723 *        
                iis188         5.0940e+01  8.3887e+00   6.0725 2.439e-09 ***      
                iis190         1.1746e+02  8.4662e+00  13.8742 < 2.2e-16 ***      
                iis193        -8.4163e+01  8.7057e+00  -9.6676 < 2.2e-16 ***      
                iis196         5.8464e+01  8.4137e+00   6.9487 1.112e-11 ***      
                iis198         4.3874e+01  8.5134e+00   5.1535 3.643e-07 ***      
                iis199        -4.4917e+01  8.6111e+00  -5.2162 2.646e-07 ***      
                iis200        -4.1479e+01  8.4548e+00  -4.9060 1.247e-06 ***      
                iis212         4.0970e+01  8.9299e+00   4.5880 5.620e-06 ***      
                iis213         5.5792e+01  8.8199e+00   6.3257 5.455e-10 ***      
                iis215         6.7528e+01  8.8337e+00   7.6443 1.027e-13 ***      
                iis217        -5.8949e+01  8.9372e+00  -6.5959 1.045e-10 ***      
                iis218        -5.5375e+01  8.8299e+00  -6.2713 7.557e-10 ***      
                iis221         4.2141e+01  8.8062e+00   4.7854 2.230e-06 ***      
                iis223         4.1852e+01  8.8355e+00   4.7368 2.807e-06 ***      
                iis225         8.1640e+01  1.1544e+01   7.0724 4.960e-12 ***      
                iis242         3.9006e+01  8.3283e+00   4.6835 3.608e-06 ***      
                iis415         6.3367e+01  8.3757e+00   7.5655 1.776e-13 ***      
                iis587         4.7406e+01  1.0349e+01   4.5808 5.810e-06 ***      
                iis589         6.6071e+01  9.9888e+00   6.6145 9.309e-11 ***      
                iis593         6.1703e+01  9.1735e+00   6.7262 4.619e-11 ***      
                iis594        -5.0721e+01  9.2348e+00  -5.4924 6.222e-08 ***      
                iis597         6.3981e+01  9.1058e+00   7.0263 6.707e-12 ***      
                iis598        -3.3446e+01  9.1512e+00  -3.6548 0.0002837 ***      
                fesisCHN.2016  2.3102e+01  4.3278e+00   5.3380 1.408e-07 ***      
                fesisDNK.2006  2.6732e+01  4.6854e+00   5.7055 1.953e-08 ***      
                fesisDNK.2019 -4.1611e+01  8.8986e+00  -4.6762 3.733e-06 ***      
                fesisJPN.2016 -1.7792e+01  4.1329e+00  -4.3050 1.998e-05 ***      
                fesisUSA.2004  2.1152e+01  5.5547e+00   3.8079 0.0001569 ***      
                fesisUSA.2007  4.3216e+01  8.0688e+00   5.3560 1.281e-07 ***      
                fesisUSA.2011 -9.2993e+01  8.1671e+00 -11.3864 < 2.2e-16 ***      
                fesisUSA.2013  3.1765e+01  7.4087e+00   4.2875 2.156e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df p-value          
                Ljung-Box AR(1)    3.4401  1 0.06363 .        
                Ljung-Box ARCH(1) 89.6998  1 < 2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression     7.96931      
                R-squared            0.98576      
                Log-lik.(n=600)  -2055.72186      
0.05

                Formula: count~ gdp + pop      
                 (1995:2020); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 11:13:47 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            7.6688e-01  1.6876e-02  45.4431 < 2.2e-16 ***      
                gdp            5.2739e-15  4.0951e-15   1.2879 0.1983788          
                pop            1.0455e-08  1.1488e-08   0.9101 0.3632093          
                idAUT          5.1959e-01  1.9970e+00   0.2602 0.7948217          
                idBEL          1.1554e-01  1.9950e+00   0.0579 0.9538398          
                idBRA         -3.0248e+00  2.7922e+00  -1.0833 0.2791810          
                idCAN          1.7845e+00  1.9999e+00   0.8923 0.3726776          
                idCHE         -1.2851e-01  1.9975e+00  -0.0643 0.9487292          
                idCHN         -9.3896e+00  1.4697e+01  -0.6389 0.5232011          
                idDEU          2.0320e+01  2.9525e+00   6.8822 1.743e-11 ***      
                idDNK          5.9336e+00  2.6807e+00   2.2135 0.0273098 *        
                idESP          5.4161e+00  2.3515e+00   2.3032 0.0216685 *        
                idFIN         -6.1010e-01  2.0003e+00  -0.3050 0.7604862          
                idFRA          3.6282e+00  2.0591e+00   1.7620 0.0786694 .        
                idGBR          7.7674e+00  2.1426e+00   3.6252 0.0003179 ***      
                idIND         -1.0729e+01  1.3685e+01  -0.7840 0.4334015          
                idISR         -4.1200e-01  1.9980e+00  -0.2062 0.8367121          
                idITA          1.6777e+00  2.0393e+00   0.8226 0.4110943          
                idJPN          6.0839e+00  3.4137e+00   1.7822 0.0753131 .        
                idKOR         -1.6096e-01  5.6566e+00  -0.0285 0.9773104          
                idNLD          3.8263e+00  2.0004e+00   1.9128 0.0563330 .        
                idNOR          1.5462e+00  2.0006e+00   0.7729 0.4399577          
                idRUS         -2.0831e+00  2.4553e+00  -0.8484 0.3966103          
                idSGP          3.0063e-01  2.0007e+00   0.1503 0.8806160          
                idSWE          4.8051e-01  1.9964e+00   0.2407 0.8098900          
                idUSA          5.3230e+00  4.2416e+00   1.2550 0.2100718          
                time1996      -2.1818e+00  2.0089e+00  -1.0861 0.2779467          
                time1997      -2.8551e+00  2.0082e+00  -1.4217 0.1557316          
                time1998      -1.5684e+00  2.0095e+00  -0.7805 0.4354719          
                time1999      -2.9206e-02  2.0086e+00  -0.0145 0.9884044          
                time2000      -5.6779e-01  2.0072e+00  -0.2829 0.7773884          
                time2001       1.3768e+00  2.0075e+00   0.6858 0.4931440          
                time2002       1.5805e-02  2.0080e+00   0.0079 0.9937229          
                time2003      -3.5987e-01  2.0300e+00  -0.1773 0.8593614          
                time2004      -5.1826e-01  2.0144e+00  -0.2573 0.7970731          
                time2005       4.2697e-01  2.0160e+00   0.2118 0.8323537          
                time2006       3.0285e+00  2.0304e+00   1.4916 0.1364334          
                time2007       4.6898e+00  2.0588e+00   2.2779 0.0231463 *        
                time2008       9.4265e+00  2.0708e+00   4.5520 6.656e-06 ***      
                time2009       1.1281e+01  2.0624e+00   5.4698 7.082e-08 ***      
                time2010       5.0062e+00  2.1401e+00   2.3392 0.0197128 *        
                time2011       4.7520e+00  2.1543e+00   2.2058 0.0278440 *        
                time2012      -3.2601e+00  2.1380e+00  -1.5248 0.1279215          
                time2013      -1.1899e+00  2.1206e+00  -0.5611 0.5749749          
                time2014      -3.8064e-02  2.0768e+00  -0.0183 0.9853844          
                time2015      -1.4532e-01  2.0589e+00  -0.0706 0.9437601          
                time2016       8.0060e-01  2.0917e+00   0.3827 0.7020669          
                time2017       4.9953e+00  2.0822e+00   2.3991 0.0167952 *        
                time2018      -1.4275e+00  2.1274e+00  -0.6710 0.5025176          
                time2019       6.5539e-01  2.1046e+00   0.3114 0.7556201          
                time2020       5.0445e+00  2.1193e+00   2.3803 0.0176655 *        
                iis188         2.8707e+01  7.9428e+00   3.6142 0.0003313 ***      
                iis190         1.0027e+02  7.8986e+00  12.6952 < 2.2e-16 ***      
                iis193        -7.5469e+01  8.4495e+00  -8.9318 < 2.2e-16 ***      
                iis196         5.6906e+01  8.3256e+00   6.8351 2.356e-11 ***      
                iis198         4.5834e+01  8.3337e+00   5.4998 6.033e-08 ***      
                iis199        -4.0263e+01  8.3782e+00  -4.8056 2.034e-06 ***      
                iis200        -4.0242e+01  8.3227e+00  -4.8352 1.766e-06 ***      
                iis212         2.3921e+01  8.4953e+00   2.8158 0.0050551 **       
                iis213         4.3524e+01  8.3444e+00   5.2160 2.666e-07 ***      
                iis215         6.2543e+01  8.3488e+00   7.4912 3.047e-13 ***      
                iis217        -4.1644e+01  8.4722e+00  -4.9155 1.197e-06 ***      
                iis218        -4.5262e+01  8.3425e+00  -5.4255 8.959e-08 ***      
                iis221         4.7530e+01  8.3184e+00   5.7139 1.883e-08 ***      
                iis223         8.0016e+01  1.0215e+01   7.8330 2.803e-14 ***      
                iis225         7.9326e+01  1.0220e+01   7.7616 4.646e-14 ***      
                iis316         3.7452e+01  7.3714e+00   5.0808 5.290e-07 ***      
                iis408         3.3219e+01  7.4659e+00   4.4494 1.059e-05 ***      
                iis415         5.2981e+01  7.9415e+00   6.6714 6.638e-11 ***      
                iis423        -2.1657e+01  8.0614e+00  -2.6865 0.0074569 **       
                iis587         3.2157e+01  9.3391e+00   3.4432 0.0006223 ***      
                iis589         6.5236e+01  8.8278e+00   7.3899 6.086e-13 ***      
                iis591        -1.7937e+01  8.6737e+00  -2.0680 0.0391433 *        
                iis593         7.0142e+01  8.3252e+00   8.4253 3.718e-16 ***      
                iis594        -3.9110e+01  8.3663e+00  -4.6747 3.777e-06 ***      
                iis597         8.6711e+01  8.8321e+00   9.8177 < 2.2e-16 ***      
                fesisCHN.2009  1.2911e+01  3.5418e+00   3.6454 0.0002944 ***      
                fesisCHN.2016  2.0223e+01  4.3029e+00   4.6999 3.357e-06 ***      
                fesisDEU.2006  3.8042e+01  4.6626e+00   8.1589 2.674e-15 ***      
                fesisDEU.2013 -1.8506e+01  5.2667e+00  -3.5137 0.0004814 ***      
                fesisDNK.2006  4.8508e+01  5.3557e+00   9.0574 < 2.2e-16 ***      
                fesisDNK.2012 -1.4607e+01  5.8881e+00  -2.4809 0.0134295 *        
                fesisDNK.2018 -2.9398e+01  8.4241e+00  -3.4897 0.0005256 ***      
                fesisESP.2011  3.8176e+01  5.4440e+00   7.0124 7.504e-12 ***      
                fesisESP.2013 -4.1075e+01  5.7039e+00  -7.2012 2.163e-12 ***      
                fesisJPN.2010  1.8259e+01  4.0661e+00   4.4907 8.796e-06 ***      
                fesisJPN.2016 -2.3100e+01  4.8723e+00  -4.7411 2.765e-06 ***      
                fesisUSA.2004  2.5686e+01  4.9383e+00   5.2013 2.875e-07 ***      
                fesisUSA.2007  6.1815e+01  7.4921e+00   8.2508 1.362e-15 ***      
                fesisUSA.2011 -7.3709e+01  6.6828e+00 -11.0296 < 2.2e-16 ***      
                fesisUSA.2017 -2.1284e+01  6.5975e+00  -3.2261 0.0013359 **       
                fesisUSA.2020  3.6483e+01  8.8771e+00   4.1098 4.616e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    5.1268  1   0.02356 *        
                Ljung-Box ARCH(1) 19.9880  1 7.793e-06 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression     7.03998      
                R-squared            0.98911      
                Log-lik.(n=600)  -1976.32615      

Log Count

AR 0

0.01

                Formula: log_count~ lgdp + lpop      
                 (1995:2020); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 11:14:06 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 624       
                Sample: 1 to 624       
                      
                SPECIFIC mean equation:      
                      
                                  coef std.error  t-stat   p-value          
                lgdp           1.31692   0.21783  6.0456 2.737e-09 ***      
                lpop          -5.23239   0.62137 -8.4208 3.217e-16 ***      
                idAUT         -3.16572   0.51388 -6.1605 1.396e-09 ***      
                idBEL         -1.73471   0.40187 -4.3166 1.877e-05 ***      
                idBRA          9.43405   1.31330  7.1835 2.203e-12 ***      
                idCAN          2.43973   0.32144  7.5901 1.363e-13 ***      
                idCHE         -4.53089   0.55714 -8.1324 2.774e-15 ***      
                idCHN         17.74924   2.39781  7.4023 5.003e-13 ***      
                idDEU          8.91020   0.82464 10.8050 < 2.2e-16 ***      
                idDNK         -5.93518   0.85253 -6.9618 9.538e-12 ***      
                idESP          4.78585   0.53697  8.9128 < 2.2e-16 ***      
                idFIN         -4.30003   0.75328 -5.7084 1.860e-08 ***      
                idFRA          5.98520   0.69491  8.6129 < 2.2e-16 ***      
                idGBR          5.83310   0.71215  8.1908 1.801e-15 ***      
                idIND         15.20496   2.25278  6.7494 3.752e-11 ***      
                idISR         -5.62867   0.61598 -9.1377 < 2.2e-16 ***      
                idITA          5.32098   0.65849  8.0806 4.059e-15 ***      
                idJPN          2.54121   1.33628  1.9017  0.057729 .        
                idKOR         -3.72779   1.32683 -2.8095  0.005136 **       
                idNLD          0.33738   0.21203  1.5912  0.112142          
                idNOR         -8.91575   0.98297 -9.0702 < 2.2e-16 ***      
                idRUS          5.30897   1.16496  4.5572 6.382e-06 ***      
                idSGP         -7.13641   0.88013 -8.1083 3.311e-15 ***      
                idSWE         -4.56326   0.62101 -7.3481 7.246e-13 ***      
                idUSA         12.10960   1.51134  8.0125 6.681e-15 ***      
                time1995      51.80233   9.32613  5.5545 4.326e-08 ***      
                time1996      52.03304   9.33126  5.5762 3.846e-08 ***      
                time1997      51.98728   9.33627  5.5683 4.014e-08 ***      
                time1998      52.04856   9.34069  5.5722 3.930e-08 ***      
                time1999      52.47929   9.34835  5.6138 3.134e-08 ***      
                time2000      52.56450   9.35340  5.6198 3.031e-08 ***      
                time2001      52.68784   9.35841  5.6300 2.867e-08 ***      
                time2002      52.84986   9.36249  5.6449 2.642e-08 ***      
                time2003      52.81307   9.36664  5.6384 2.737e-08 ***      
                time2004      53.07294   9.37281  5.6624 2.399e-08 ***      
                time2005      53.23763   9.37666  5.6777 2.205e-08 ***      
                time2006      53.60928   9.38217  5.7140 1.804e-08 ***      
                time2007      53.88659   9.38762  5.7402 1.559e-08 ***      
                time2008      54.13914   9.38620  5.7680 1.335e-08 ***      
                time2009      54.50767   9.38757  5.8064 1.076e-08 ***      
                time2010      54.51746   9.39263  5.8043 1.089e-08 ***      
                time2011      54.54945   9.39699  5.8050 1.085e-08 ***      
                time2012      54.40424   9.40133  5.7869 1.201e-08 ***      
                time2013      54.15816   9.40569  5.7580 1.411e-08 ***      
                time2014      54.13878   9.40902  5.7539 1.444e-08 ***      
                time2015      53.91147   9.41315  5.7273 1.675e-08 ***      
                time2016      53.99063   9.41763  5.7329 1.623e-08 ***      
                time2017      54.13887   9.42176  5.7462 1.508e-08 ***      
                time2018      54.00601   9.42563  5.7297 1.653e-08 ***      
                time2019      53.81725   9.42847  5.7079 1.865e-08 ***      
                time2020      54.10843   9.42947  5.7382 1.576e-08 ***      
                iis64         -1.78481   0.43376 -4.1148 4.465e-05 ***      
                iis164        -1.23244   0.44506 -2.7691  0.005809 **       
                fesisAUS.2009 -0.55244   0.17803 -3.1030  0.002013 **       
                fesisBEL.2003 -0.56071   0.18335 -3.0580  0.002335 **       
                fesisBRA.2007 -0.81866   0.19612 -4.1743 3.471e-05 ***      
                fesisBRA.2015  0.93708   0.22905  4.0912 4.929e-05 ***      
                fesisCHN.2005  0.76234   0.27186  2.8042  0.005222 **       
                fesisDNK.2007  1.14895   0.16935  6.7846 2.998e-11 ***      
                fesisESP.2004  0.88288   0.17750  4.9739 8.767e-07 ***      
                fesisFIN.1999 -1.22918   0.23314 -5.2724 1.933e-07 ***      
                fesisGBR.2001  0.97582   0.19839  4.9187 1.150e-06 ***      
                fesisIND.2008  1.08946   0.20022  5.4413 7.951e-08 ***      
                fesisJPN.1999  0.99752   0.23681  4.2123 2.950e-05 ***      
                fesisNOR.2019  1.34056   0.31189  4.2981 2.035e-05 ***      
                fesisRUS.2004 -1.33494   0.20551 -6.4958 1.840e-10 ***      
                fesisSGP.2008  1.78614   0.23190  7.7024 6.191e-14 ***      
                fesisSGP.2014 -1.59955   0.23661 -6.7604 3.499e-11 ***      
                fesisSWE.2003 -1.33647   0.18192 -7.3467 7.315e-13 ***      
                fesisUSA.2003  1.29720   0.18192  7.1307 3.132e-12 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)   19.1149  1 1.231e-05 ***      
                Ljung-Box ARCH(1)  2.6275  1     0.105          
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.41236      
                R-squared           0.93182      
                Log-lik.(n=624)  -297.64529      
0.05

                Formula: log_count~ lgdp + lpop      
                 (1995:2020); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 11:14:01 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 624       
                Sample: 1 to 624       
                      
                SPECIFIC mean equation:      
                      
                                  coef std.error  t-stat   p-value          
                lgdp           1.65374   0.13300 12.4342 < 2.2e-16 ***      
                lpop          -3.49449   0.58079 -6.0168 3.324e-09 ***      
                idAUT         -0.79387   0.50649 -1.5674 0.1176251          
                idBEL         -0.72267   0.37623 -1.9208 0.0552887 .        
                idBRA          5.22652   1.26722  4.1244 4.316e-05 ***      
                idCAN          1.23965   0.31356  3.9535 8.749e-05 ***      
                idCHE         -2.27656   0.56493 -4.0298 6.402e-05 ***      
                idCHN          9.93370   2.33554  4.2533 2.491e-05 ***      
                idDEU          6.19703   0.80201  7.7269 5.574e-14 ***      
                idDNK         -3.67049   0.77784 -4.7188 3.040e-06 ***      
                idESP          3.57829   0.47948  7.4628 3.504e-13 ***      
                idFIN         -1.41066   0.74413 -1.8957 0.0585430 .        
                idFRA          3.81622   0.66756  5.7166 1.817e-08 ***      
                idGBR          3.76901   0.67254  5.6042 3.372e-08 ***      
                idIND          6.99884   2.23906  3.1258 0.0018707 **       
                idISR         -3.60839   0.61205 -5.8955 6.661e-09 ***      
                idITA          3.07248   0.65269  4.7074 3.209e-06 ***      
                idJPN         -2.58877   1.18556 -2.1836 0.0294311 *        
                idKOR         -7.59355   0.89688 -8.4667 2.500e-16 ***      
                idNLD          0.91501   0.18125  5.0484 6.138e-07 ***      
                idNOR         -6.68778   0.87498 -7.6433 1.003e-13 ***      
                idRUS          0.50282   1.14941  0.4375 0.6619600          
                idSGP         -3.75962   0.86236 -4.3597 1.566e-05 ***      
                idSWE         -3.56375   0.52105 -6.8395 2.201e-11 ***      
                idUSA          6.76526   1.50142  4.5059 8.141e-06 ***      
                time1995      13.37200   9.28459  1.4402 0.1503922          
                time1996      13.70740   9.28814  1.4758 0.1405934          
                time1997      13.54291   9.29508  1.4570 0.1457106          
                time1998      13.63167   9.29749  1.4662 0.1431971          
                time1999      14.03543   9.30420  1.5085 0.1320225          
                time2000      14.03524   9.30824  1.5078 0.1321952          
                time2001      14.09549   9.31304  1.5135 0.1307445          
                time2002      14.32273   9.31869  1.5370 0.1248936          
                time2003      14.17481   9.32139  1.5207 0.1289388          
                time2004      14.40747   9.32819  1.5445 0.1230632          
                time2005      14.60167   9.33203  1.5647 0.1182555          
                time2006      14.94466   9.33717  1.6006 0.1100726          
                time2007      15.26497   9.34255  1.6339 0.1028710          
                time2008      15.46962   9.34308  1.6557 0.0983694 .        
                time2009      15.83014   9.34447  1.6941 0.0908415 .        
                time2010      15.88258   9.34696  1.6992 0.0898647 .        
                time2011      15.90917   9.35064  1.7014 0.0894556 .        
                time2012      15.80102   9.35853  1.6884 0.0919222 .        
                time2013      15.53584   9.36276  1.6593 0.0976435 .        
                time2014      15.45138   9.36235  1.6504 0.0994597 .        
                time2015      15.27359   9.36226  1.6314 0.1034011          
                time2016      15.29704   9.36629  1.6332 0.1030214          
                time2017      15.46039   9.36936  1.6501 0.0995160 .        
                time2018      15.27265   9.37361  1.6293 0.1038399          
                time2019      15.07246   9.37598  1.6076 0.1085281          
                time2020      15.36989   9.37794  1.6389 0.1018200          
                iis23         -0.86039   0.38601 -2.2289 0.0262377 *        
                iis34         -1.19242   0.38122 -3.1279 0.0018575 **       
                iis39         -1.05316   0.38005 -2.7711 0.0057826 **       
                iis58          1.31889   0.37844  3.4851 0.0005328 ***      
                iis59          1.18803   0.37794  3.1435 0.0017632 **       
                iis64         -1.77108   0.37747 -4.6920 3.449e-06 ***      
                iis79          1.01814   0.38686  2.6318 0.0087408 **       
                iis162        -1.14098   0.38654 -2.9518 0.0032995 **       
                iis164        -1.65662   0.38355 -4.3192 1.870e-05 ***      
                iis165        -1.23966   0.38202 -3.2450 0.0012486 **       
                iis210        -0.96789   0.38830 -2.4927 0.0129835 *        
                iis211        -0.88284   0.38820 -2.2742 0.0233526 *        
                iis367         1.00895   0.38500  2.6206 0.0090286 **       
                iis395        -1.17806   0.39892 -2.9531 0.0032859 **       
                iis420        -1.03391   0.42649 -2.4243 0.0156741 *        
                iis425         1.18110   0.37956  3.1118 0.0019599 **       
                iis541        -0.84105   0.38069 -2.2093 0.0275818 *        
                iis560         1.79391   0.38592  4.6484 4.229e-06 ***      
                iis561         2.06730   0.38849  5.3214 1.523e-07 ***      
                iis562         1.71622   0.39009  4.3996 1.312e-05 ***      
                iis563         1.33043   0.39183  3.3955 0.0007366 ***      
                iis600        -1.12762   0.39518 -2.8534 0.0044944 **       
                fesisAUS.2009 -0.81991   0.16374 -5.0073 7.532e-07 ***      
                fesisAUT.2002 -0.39624   0.17074 -2.3208 0.0206775 *        
                fesisBRA.2007 -0.92404   0.17485 -5.2847 1.844e-07 ***      
                fesisBRA.2015  0.87882   0.20087  4.3750 1.463e-05 ***      
                fesisCAN.2002  0.70201   0.19334  3.6309 0.0003099 ***      
                fesisCAN.2010 -0.68812   0.17497 -3.9328 9.515e-05 ***      
                fesisCHE.2005 -0.53590   0.15352 -3.4906 0.0005222 ***      
                fesisDNK.2007  0.99072   0.15703  6.3092 5.932e-10 ***      
                fesisESP.2004  0.76071   0.15804  4.8133 1.940e-06 ***      
                fesisFIN.1999 -0.90562   0.22790 -3.9737 8.057e-05 ***      
                fesisFIN.2007 -0.42733   0.16665 -2.5643 0.0106138 *        
                fesisGBR.2001  0.98284   0.17554  5.5989 3.469e-08 ***      
                fesisIND.2008  0.61905   0.16607  3.7277 0.0002141 ***      
                fesisISR.2015 -0.75922   0.19861 -3.8228 0.0001477 ***      
                fesisITA.2002  0.45767   0.18135  2.5236 0.0119064 *        
                fesisJPN.1999  0.86983   0.23684  3.6727 0.0002644 ***      
                fesisNOR.2019  1.21768   0.27426  4.4399 1.096e-05 ***      
                fesisRUS.2004 -1.23961   0.17317 -7.1582 2.747e-12 ***      
                fesisSGP.2014 -0.53167   0.20494 -2.5943 0.0097414 **       
                fesisSWE.2003 -0.98508   0.19375 -5.0843 5.130e-07 ***      
                fesisSWE.2010 -0.63014   0.18015 -3.4978 0.0005086 ***      
                fesisUSA.2003  1.05549   0.16881  6.2525 8.331e-10 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    5.6403  1 0.0175527 *        
                Ljung-Box ARCH(1) 12.9668  1 0.0003171 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.36133      
                R-squared           0.95002      
                Log-lik.(n=624)  -202.71279      

AR 1

0.01

                Formula: log_count~ lgdp + lpop      
                 (1995:2020); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 11:16:19 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.419530  0.033795 12.4138 < 2.2e-16 ***      
                lgdp           1.132010  0.150407  7.5263 2.245e-13 ***      
                lpop          -2.786212  0.576279 -4.8348 1.747e-06 ***      
                idAUT         -0.753057  0.500985 -1.5032 0.1333929          
                idBEL         -0.346866  0.376279 -0.9218 0.3570343          
                idBRA          4.603797  1.206997  3.8143 0.0001526 ***      
                idCAN          1.468382  0.276709  5.3066 1.642e-07 ***      
                idCHE         -1.823892  0.553826 -3.2933 0.0010562 **       
                idCHN          8.669992  2.212403  3.9188 0.0001006 ***      
                idDEU          4.863779  0.778420  6.2483 8.510e-10 ***      
                idDNK         -3.016058  0.789523 -3.8201 0.0001491 ***      
                idESP          3.318148  0.478470  6.9349 1.183e-11 ***      
                idFIN         -1.890745  0.732372 -2.5817 0.0100987 *        
                idFRA          3.331134  0.630517  5.2832 1.855e-07 ***      
                idGBR          3.745502  0.630574  5.9398 5.158e-09 ***      
                idIND          6.953709  2.123186  3.2751 0.0011249 **       
                idISR         -2.550117  0.604607 -4.2178 2.900e-05 ***      
                idITA          3.102088  0.587939  5.2762 1.923e-07 ***      
                idJPN         -1.346827  1.078841 -1.2484 0.2124328          
                idKOR         -4.609048  0.902669 -5.1060 4.590e-07 ***      
                idNLD          0.814400  0.190540  4.2742 2.274e-05 ***      
                idNOR         -4.803122  0.916011 -5.2435 2.277e-07 ***      
                idRUS          1.475253  1.038291  1.4208 0.1559468          
                idSGP         -2.935494  0.862240 -3.4045 0.0007129 ***      
                idSWE         -2.494506  0.561201 -4.4449 1.070e-05 ***      
                idUSA          4.889353  1.461260  3.3460 0.0008778 ***      
                time1996      15.724424  8.651149  1.8176 0.0696860 .        
                time1997      15.510245  8.655441  1.7920 0.0737068 .        
                time1998      15.572874  8.658963  1.7985 0.0726695 .        
                time1999      15.985021  8.663205  1.8452 0.0655695 .        
                time2000      15.754526  8.669752  1.8172 0.0697515 .        
                time2001      15.911947  8.674554  1.8343 0.0671641 .        
                time2002      16.061763  8.680476  1.8503 0.0648199 .        
                time2003      15.967443  8.684314  1.8387 0.0665234 .        
                time2004      16.137615  8.689429  1.8572 0.0638416 .        
                time2005      16.264527  8.694589  1.8706 0.0619425 .        
                time2006      16.511058  8.700641  1.8977 0.0582790 .        
                time2007      16.602114  8.703554  1.9075 0.0569928 .        
                time2008      16.795635  8.710793  1.9281 0.0543695 .        
                time2009      16.971582  8.717362  1.9469 0.0520761 .        
                time2010      16.857394  8.722663  1.9326 0.0538163 .        
                time2011      16.867382  8.726314  1.9329 0.0537748 .        
                time2012      16.745373  8.729223  1.9183 0.0556064 .        
                time2013      16.553765  8.732145  1.8957 0.0585378 .        
                time2014      16.563380  8.734507  1.8963 0.0584599 .        
                time2015      16.345360  8.737425  1.8707 0.0619313 .        
                time2016      16.549974  8.740419  1.8935 0.0588339 .        
                time2017      16.658316  8.744071  1.9051 0.0573062 .        
                time2018      16.451301  8.748029  1.8806 0.0605762 .        
                time2019      16.319992  8.749548  1.8652 0.0626983 .        
                time2020      16.650372  8.751238  1.9026 0.0576284 .        
                iis7           1.294696  0.422433  3.0649 0.0022882 **       
                iis32         -1.787702  0.422465 -4.2316 2.733e-05 ***      
                iis55          1.336311  0.420124  3.1808 0.0015545 **       
                iis61         -1.848422  0.419961 -4.4014 1.300e-05 ***      
                iis95          1.339952  0.419972  3.1906 0.0015036 **       
                iis157        -1.456537  0.425881 -3.4201 0.0006741 ***      
                iis259         1.214557  0.420746  2.8867 0.0040516 **       
                iis358        -1.223934  0.421328 -2.9049 0.0038260 **       
                iis379        -1.604803  0.420712 -3.8145 0.0001525 ***      
                fesisDNK.2006  0.739282  0.173749  4.2549 2.472e-05 ***      
                fesisJPN.1999  1.066794  0.259228  4.1153 4.481e-05 ***      
                fesisNOR.2019  1.036552  0.304825  3.4005 0.0007232 ***      
                fesisRUS.2004 -0.864728  0.199839 -4.3271 1.805e-05 ***      
                fesisSGP.2007  1.259276  0.237021  5.3129 1.589e-07 ***      
                fesisSGP.2012 -1.271284  0.235461 -5.3991 1.011e-07 ***      
                fesisSWE.2002 -0.839719  0.197820 -4.2449 2.581e-05 ***      
                fesisUSA.1997  1.456746  0.422375  3.4489 0.0006074 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    4.1597  1 0.0413978 *        
                Ljung-Box ARCH(1) 11.2751  1 0.0007855 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.40236      
                R-squared           0.93375      
                Log-lik.(n=600)  -271.11435      
0.05

                Formula: log_count~ lgdp + lpop      
                 (1995:2020); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 11:16:18 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.400262  0.031758 12.6034 < 2.2e-16 ***      
                lgdp           0.641781  0.191108  3.3582 0.0008428 ***      
                lpop          -2.433111  0.590486 -4.1205 4.407e-05 ***      
                idAUT         -1.341983  0.509236 -2.6353 0.0086610 **       
                idBEL         -0.759653  0.384573 -1.9753 0.0487679 *        
                idBRA          4.240057  1.264287  3.3537 0.0008563 ***      
                idCAN          1.417279  0.329654  4.2993 2.051e-05 ***      
                idCHE         -1.859491  0.544685 -3.4139 0.0006911 ***      
                idCHN          8.350804  2.303402  3.6254 0.0003173 ***      
                idDEU          4.772254  0.820847  5.8138 1.074e-08 ***      
                idDNK         -2.991559  0.827962 -3.6132 0.0003323 ***      
                idESP          2.913090  0.531259  5.4834 6.559e-08 ***      
                idFIN         -2.337832  0.729639 -3.2041 0.0014391 **       
                idFRA          3.179692  0.678815  4.6842 3.605e-06 ***      
                idGBR          2.770854  0.699797  3.9595 8.571e-05 ***      
                idIND          7.006807  2.163047  3.2393 0.0012758 **       
                idISR         -2.357183  0.598872 -3.9360 9.426e-05 ***      
                idITA          2.832973  0.638840  4.4346 1.129e-05 ***      
                idJPN          0.910750  1.243815  0.7322 0.4643669          
                idKOR         -1.507670  1.180067 -1.2776 0.2019638          
                idNLD          0.527670  0.221046  2.3872 0.0173405 *        
                idNOR         -3.942229  0.932609 -4.2271 2.803e-05 ***      
                idRUS          2.567495  1.116591  2.2994 0.0218828 *        
                idSGP         -3.288383  0.853365 -3.8534 0.0001312 ***      
                idSWE         -1.774349  0.579938 -3.0596 0.0023326 **       
                idUSA          6.645437  1.481423  4.4858 8.970e-06 ***      
                time1996      23.455009  8.914749  2.6310 0.0087686 **       
                time1997      23.309015  8.919473  2.6133 0.0092312 **       
                time1998      23.304196  8.923120  2.6117 0.0092742 **       
                time1999      23.709625  8.927698  2.6557 0.0081597 **       
                time2000      23.430767  8.935931  2.6221 0.0089990 **       
                time2001      23.600605  8.940938  2.6396 0.0085527 **       
                time2002      23.797386  8.945844  2.6602 0.0080548 **       
                time2003      23.675132  8.951765  2.6447 0.0084258 **       
                time2004      23.848331  8.958130  2.6622 0.0080068 **       
                time2005      24.002958  8.959495  2.6791 0.0076201 **       
                time2006      24.320983  8.966643  2.7124 0.0069044 **       
                time2007      24.387166  8.969753  2.7188 0.0067734 **       
                time2008      24.588157  8.976647  2.7391 0.0063747 **       
                time2009      24.756574  8.982295  2.7562 0.0060567 **       
                time2010      24.697283  8.988324  2.7477 0.0062126 **       
                time2011      24.686827  8.992346  2.7453 0.0062574 **       
                time2012      24.568609  8.995246  2.7313 0.0065260 **       
                time2013      24.379948  8.998535  2.7093 0.0069675 **       
                time2014      24.392875  9.001431  2.7099 0.0069558 **       
                time2015      24.219985  9.002672  2.6903 0.0073713 **       
                time2016      24.389802  9.008229  2.7075 0.0070053 **       
                time2017      24.548362  9.011498  2.7241 0.0066673 **       
                time2018      24.317089  9.016665  2.6969 0.0072289 **       
                time2019      24.274228  9.018318  2.6917 0.0073420 **       
                time2020      24.498492  9.019366  2.7162 0.0068263 **       
                iis22         -0.893205  0.383620 -2.3284 0.0202809 *        
                iis32         -1.695362  0.384282 -4.4118 1.250e-05 ***      
                iis55          1.387585  0.379909  3.6524 0.0002865 ***      
                iis61         -1.868023  0.379911 -4.9170 1.185e-06 ***      
                iis62          0.830979  0.384351  2.1620 0.0310773 *        
                iis74         -1.013750  0.381416 -2.6579 0.0081092 **       
                iis95          1.330725  0.379265  3.5087 0.0004899 ***      
                iis136        -1.128147  0.379003 -2.9766 0.0030521 **       
                iis157        -1.232763  0.397862 -3.0985 0.0020519 **       
                iis259         1.234376  0.379969  3.2486 0.0012356 **       
                iis262        -0.945162  0.379635 -2.4897 0.0131023 *        
                iis278        -1.142536  0.380551 -3.0023 0.0028099 **       
                iis358        -1.252794  0.381091 -3.2874 0.0010805 **       
                iis370        -0.938624  0.381937 -2.4575 0.0143191 *        
                iis379        -1.568634  0.380084 -4.1271 4.287e-05 ***      
                iis427        -1.250075  0.382056 -3.2720 0.0011399 **       
                iis565        -0.773624  0.381611 -2.0273 0.0431524 *        
                iis574        -0.939684  0.382231 -2.4584 0.0142844 *        
                iis576        -1.564730  0.381742 -4.0989 4.824e-05 ***      
                fesisAUS.2002  0.889832  0.263035  3.3829 0.0007719 ***      
                fesisAUS.2005 -0.879306  0.239120 -3.6773 0.0002606 ***      
                fesisAUT.2000  1.020594  0.321816  3.1714 0.0016080 **       
                fesisAUT.2002 -0.896903  0.277766 -3.2290 0.0013218 **       
                fesisCHN.2004  0.677251  0.239925  2.8228 0.0049460 **       
                fesisDNK.1998  1.720331  0.454404  3.7859 0.0001713 ***      
                fesisDNK.1999 -1.042103  0.398267 -2.6166 0.0091431 **       
                fesisDNK.2006  0.699846  0.173599  4.0314 6.386e-05 ***      
                fesisGBR.2000  0.851306  0.205912  4.1343 4.158e-05 ***      
                fesisIND.2005  0.701923  0.181844  3.8600 0.0001278 ***      
                fesisJPN.1999  1.541258  0.273176  5.6420 2.782e-08 ***      
                fesisJPN.2004 -0.563001  0.194385 -2.8963 0.0039369 **       
                fesisNOR.2019  0.982290  0.275561  3.5647 0.0003983 ***      
                fesisRUS.2004 -0.680891  0.191449 -3.5565 0.0004106 ***      
                fesisSGP.2007  1.401113  0.218987  6.3982 3.548e-10 ***      
                fesisSGP.2012 -1.236700  0.213756 -5.7856 1.258e-08 ***      
                fesisSWE.2002 -0.701718  0.182449 -3.8461 0.0001351 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    3.6324  1 0.0566658 .        
                Ljung-Box ARCH(1) 11.7224  1 0.0006175 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.36278      
                R-squared           0.94807      
                Log-lik.(n=600)  -199.48694      

without IIS

Count

0

0.01

                Formula: count~ gdp + pop      
                 (1995:2020); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 11:17:53 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 624       
                Sample: 1 to 624       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                gdp            2.4509e-14  7.9342e-15   3.0890 0.0021092 **       
                pop            1.6435e-07  3.6307e-08   4.5268 7.338e-06 ***      
                idAUT         -8.6560e+00  5.0070e+00  -1.7288 0.0844073 .        
                idBEL         -1.0000e+01  4.9974e+00  -2.0010 0.0458779 *        
                idBRA         -2.9588e+01  8.1344e+00  -3.6374 0.0003013 ***      
                idCAN         -5.6583e+00  4.9816e+00  -1.1358 0.2565142          
                idCHE         -3.0817e-01  5.8013e+00  -0.0531 0.9576545          
                idCHN         -1.9478e+02  4.6761e+01  -4.1656 3.604e-05 ***      
                idDEU          1.2300e+01  8.0527e+00   1.5275 0.1272197          
                idDNK          1.6847e+01  5.8069e+00   2.9012 0.0038653 **       
                idESP          1.2688e+01  5.0223e+00   2.5263 0.0118056 *        
                idFIN         -3.7989e-01  5.8073e+00  -0.0654 0.9478672          
                idFRA         -5.2481e+00  5.1715e+00  -1.0148 0.3106387          
                idGBR          1.7612e+01  5.1533e+00   3.4176 0.0006783 ***      
                idIND         -1.7473e+02  3.8238e+01  -4.5695 6.037e-06 ***      
                idISR         -2.8837e-01  5.6823e+00  -0.0507 0.9595442          
                idITA         -1.0055e+01  5.1226e+00  -1.9628 0.0501732 .        
                idJPN         -2.5958e+00  7.7286e+00  -0.3359 0.7370932          
                idKOR         -2.2274e+01  1.1146e+01  -1.9984 0.0461582 *        
                idNLD          1.0333e+00  4.9808e+00   0.2075 0.8357253          
                idNOR         -6.3585e+00  5.0229e+00  -1.2659 0.2060775          
                idRUS         -2.4827e+01  7.4051e+00  -3.3527 0.0008552 ***      
                idSGP         -7.5554e+00  5.0242e+00  -1.5038 0.1332031          
                idSWE          2.8248e+00  5.7972e+00   0.4873 0.6262556          
                idUSA         -2.9295e+01  1.1368e+01  -2.5771 0.0102214 *        
                time1995      -3.0265e+00  4.9294e+00  -0.6140 0.5394870          
                time1996      -2.5581e+00  4.9343e+00  -0.5184 0.6043647          
                time1997      -2.9051e+00  4.9400e+00  -0.5881 0.5567271          
                time1998      -1.8465e+00  4.9469e+00  -0.3733 0.7091017          
                time1999       3.6017e-01  4.9534e+00   0.0727 0.9420628          
                time2000      -1.2002e+00  4.9598e+00  -0.2420 0.8088886          
                time2001       1.5900e+00  4.9678e+00   0.3201 0.7490409          
                time2002       2.3087e+00  4.9763e+00   0.4639 0.6428819          
                time2003       3.8564e+00  4.9852e+00   0.7736 0.4395148          
                time2004       2.0532e+00  5.0001e+00   0.4106 0.6815056          
                time2005       3.4699e+00  5.0098e+00   0.6926 0.4888430          
                time2006       1.2514e+01  4.9682e+00   2.5188 0.0120575 *        
                time2007       1.2744e+01  5.0650e+00   2.5161 0.0121486 *        
                time2008       2.9251e+01  5.2335e+00   5.5892 3.588e-08 ***      
                time2009       3.7433e+01  5.2437e+00   7.1387 2.982e-12 ***      
                time2010       4.1173e+01  5.2750e+00   7.8052 2.997e-14 ***      
                time2011       4.3848e+01  5.2790e+00   8.3061 7.682e-16 ***      
                time2012       3.1434e+01  5.2899e+00   5.9422 4.985e-09 ***      
                time2013       2.5354e+01  5.2953e+00   4.7881 2.166e-06 ***      
                time2014       2.2936e+01  5.2989e+00   4.3285 1.783e-05 ***      
                time2015       1.9564e+01  5.3109e+00   3.6838 0.0002524 ***      
                time2016       2.0850e+01  5.3314e+00   3.9108 0.0001034 ***      
                time2017       2.2358e+01  5.3307e+00   4.1941 3.191e-05 ***      
                time2018       1.8866e+01  5.3420e+00   3.5315 0.0004477 ***      
                time2019       1.2255e+01  5.3520e+00   2.2898 0.0224094 *        
                time2020       1.6464e+01  5.3582e+00   3.0727 0.0022263 **       
                fesisAUS.2008 -2.2566e+01  5.8980e+00  -3.8260 0.0001451 ***      
                fesisBRA.2007 -2.6012e+01  5.9450e+00  -4.3755 1.449e-05 ***      
                fesisCHE.2007 -1.8484e+01  5.9278e+00  -3.1182 0.0019146 **       
                fesisCHN.2017  7.1442e+01  8.7057e+00   8.2063 1.616e-15 ***      
                fesisDEU.2000  6.4076e+01  8.6428e+00   7.4139 4.642e-13 ***      
                fesisDEU.2007  8.6809e+01  1.0231e+01   8.4852 < 2.2e-16 ***      
                fesisDEU.2010  1.1675e+02  1.2054e+01   9.6852 < 2.2e-16 ***      
                fesisDEU.2013 -1.0265e+02  9.9963e+00 -10.2689 < 2.2e-16 ***      
                fesisDNK.2007  1.6163e+02  6.6056e+00  24.4682 < 2.2e-16 ***      
                fesisDNK.2016  3.0387e+01  8.2446e+00   3.6857 0.0002506 ***      
                fesisFIN.2007 -2.0485e+01  5.9292e+00  -3.4549 0.0005928 ***      
                fesisIND.2006 -4.3119e+01  9.9373e+00  -4.3391 1.702e-05 ***      
                fesisISR.2008 -2.1296e+01  5.9020e+00  -3.6083 0.0003362 ***      
                fesisJPN.2010  5.4355e+01  5.9455e+00   9.1424 < 2.2e-16 ***      
                fesisRUS.2007 -1.8977e+01  5.9222e+00  -3.2044 0.0014314 **       
                fesisSWE.2007 -1.9565e+01  5.9275e+00  -3.3007 0.0010265 **       
                fesisUSA.2004  5.8990e+01  9.8442e+00   5.9924 3.734e-09 ***      
                fesisUSA.2007  1.3958e+02  1.3505e+01  10.3357 < 2.2e-16 ***      
                fesisUSA.2009  1.2465e+02  1.4753e+01   8.4491 2.615e-16 ***      
                fesisUSA.2011 -1.0166e+02  1.3466e+01  -7.5493 1.820e-13 ***      
                fesisUSA.2014 -9.4190e+01  1.0191e+01  -9.2429 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   136.30  1 < 2.2e-16 ***      
                Ljung-Box ARCH(1) 100.01  1 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    14.43766      
                R-squared            0.95073      
                Log-lik.(n=624)  -2515.39780      
0.05

                Formula: count~ gdp + pop      
                 (1995:2020); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 11:17:51 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 624       
                Sample: 1 to 624       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                gdp            1.1680e-14  7.0084e-15   1.6666 0.0961750 .        
                pop            4.7726e-08  3.6370e-08   1.3123 0.1899885          
                idAUT         -1.2168e+00  5.0035e+00  -0.2432 0.8079476          
                idBEL         -2.1763e+00  4.8913e+00  -0.4449 0.6565431          
                idBRA         -1.0890e+01  7.5838e+00  -1.4360 0.1515702          
                idCAN          9.4678e-01  4.7459e+00   0.1995 0.8419497          
                idCHE         -1.4021e+00  5.0061e+00  -0.2801 0.7795284          
                idCHN         -6.0987e+01  4.5255e+01  -1.3476 0.1783405          
                idDEU          2.0361e+01  7.0496e+00   2.8883 0.0040277 **       
                idDNK          1.5549e+01  5.0128e+00   3.1018 0.0020232 **       
                idESP          1.0697e+01  4.3946e+00   2.4341 0.0152501 *        
                idFIN         -1.7171e+00  5.0133e+00  -0.3425 0.7321072          
                idFRA         -4.9302e+00  4.5741e+00  -1.0778 0.2815796          
                idGBR          1.7708e+01  4.5526e+00   3.8896 0.0001128 ***      
                idIND         -5.3858e+01  3.8497e+01  -1.3990 0.1623706          
                idISR         -1.8008e+00  4.9029e+00  -0.3673 0.7135392          
                idITA         -1.0351e+01  4.5161e+00  -2.2921 0.0222798 *        
                idJPN          1.5320e+01  6.9998e+00   2.1886 0.0290512 *        
                idKOR         -7.2690e+00  9.7238e+00  -0.7476 0.4550531          
                idNLD         -4.1929e+00  4.3335e+00  -0.9676 0.3336946          
                idNOR         -8.0898e-01  4.9099e+00  -0.1648 0.8691912          
                idRUS         -9.0648e+00  6.7940e+00  -1.3342 0.1826858          
                idSGP         -3.8997e+00  4.6963e+00  -0.8304 0.4066895          
                idSWE          1.9599e+00  5.0011e+00   0.3919 0.6952851          
                idUSA          1.4089e+00  1.0920e+01   0.1290 0.8973854          
                time1995      -1.9274e+00  4.2551e+00  -0.4530 0.6507532          
                time1996      -1.2283e+00  4.2609e+00  -0.2883 0.7732510          
                time1997      -1.3543e+00  4.2678e+00  -0.3173 0.7511181          
                time1998      -1.3176e-01  4.2758e+00  -0.0308 0.9754273          
                time1999       2.3049e+00  4.2835e+00   0.5381 0.5907329          
                time2000       1.0011e+00  4.2918e+00   0.2333 0.8156473          
                time2001       3.9942e+00  4.3012e+00   0.9286 0.3534971          
                time2002       4.9270e+00  4.3112e+00   1.1428 0.2536077          
                time2003       6.6678e+00  4.3215e+00   1.5429 0.1234247          
                time2004       4.9836e+00  4.3363e+00   1.1493 0.2509502          
                time2005       5.6285e+00  4.3241e+00   1.3017 0.1935779          
                time2006       1.3079e+01  4.3344e+00   3.0174 0.0026686 **       
                time2007       1.8891e+01  4.4091e+00   4.2846 2.165e-05 ***      
                time2008       3.8515e+01  4.6104e+00   8.3539 5.520e-16 ***      
                time2009       4.6836e+01  4.6212e+00  10.1349 < 2.2e-16 ***      
                time2010       4.8271e+01  4.6985e+00  10.2738 < 2.2e-16 ***      
                time2011       5.2352e+01  4.7311e+00  11.0656 < 2.2e-16 ***      
                time2012       4.4587e+01  4.7366e+00   9.4132 < 2.2e-16 ***      
                time2013       3.8867e+01  4.7452e+00   8.1908 1.862e-15 ***      
                time2014       3.6666e+01  4.7510e+00   7.7175 5.711e-14 ***      
                time2015       3.3479e+01  4.7638e+00   7.0278 6.309e-12 ***      
                time2016       3.3907e+01  4.7780e+00   7.0965 4.010e-12 ***      
                time2017       3.5850e+01  4.7854e+00   7.4915 2.772e-13 ***      
                time2018       3.2529e+01  4.7981e+00   6.7796 3.145e-11 ***      
                time2019       2.6064e+01  4.8091e+00   5.4197 8.984e-08 ***      
                time2020       3.0355e+01  4.8151e+00   6.3042 5.995e-10 ***      
                fesisAUS.2008 -3.1842e+01  5.2202e+00  -6.0998 2.016e-09 ***      
                fesisAUT.2007 -2.5286e+01  5.2453e+00  -4.8206 1.860e-06 ***      
                fesisBEL.2008 -2.7435e+01  5.2247e+00  -5.2509 2.174e-07 ***      
                fesisBRA.2007 -3.2672e+01  5.2870e+00  -6.1797 1.260e-09 ***      
                fesisCAN.2010 -2.3292e+01  5.2511e+00  -4.4356 1.111e-05 ***      
                fesisCHE.2007 -2.8051e+01  5.2447e+00  -5.3484 1.309e-07 ***      
                fesisCHN.2005  2.3290e+01  6.3648e+00   3.6593 0.0002776 ***      
                fesisCHN.2017  6.5538e+01  7.6089e+00   8.6134 < 2.2e-16 ***      
                fesisDEU.2000  6.3420e+01  7.4506e+00   8.5121 < 2.2e-16 ***      
                fesisDEU.2007  8.0743e+01  8.8655e+00   9.1076 < 2.2e-16 ***      
                fesisDEU.2010  1.1529e+02  1.0409e+01  11.0760 < 2.2e-16 ***      
                fesisDEU.2013 -1.0654e+02  8.6201e+00 -12.3593 < 2.2e-16 ***      
                fesisDNK.2007  1.3795e+02  8.3077e+00  16.6046 < 2.2e-16 ***      
                fesisDNK.2010  9.4030e+01  1.1628e+01   8.0862 4.021e-15 ***      
                fesisDNK.2012 -1.0701e+02  1.1015e+01  -9.7145 < 2.2e-16 ***      
                fesisDNK.2016  5.5464e+01  8.5345e+00   6.4988 1.833e-10 ***      
                fesisFIN.2007 -3.0128e+01  5.2457e+00  -5.7434 1.545e-08 ***      
                fesisIND.2007 -2.3981e+01  9.5856e+00  -2.5018 0.0126499 *        
                fesisISR.2008 -3.0845e+01  5.2229e+00  -5.9058 6.187e-09 ***      
                fesisJPN.2010  4.5585e+01  5.2330e+00   8.7110 < 2.2e-16 ***      
                fesisNOR.2008 -2.4210e+01  5.2247e+00  -4.6337 4.500e-06 ***      
                fesisRUS.2007 -2.8525e+01  5.2284e+00  -5.4557 7.417e-08 ***      
                fesisSGP.2011 -2.6659e+01  5.3152e+00  -5.0156 7.170e-07 ***      
                fesisSWE.2007 -2.9132e+01  5.2441e+00  -5.5552 4.343e-08 ***      
                fesisUSA.2004  6.1073e+01  8.4866e+00   7.1964 2.062e-12 ***      
                fesisUSA.2007  1.3460e+02  1.1676e+01  11.5279 < 2.2e-16 ***      
                fesisUSA.2009  1.2473e+02  1.2721e+01   9.8052 < 2.2e-16 ***      
                fesisUSA.2011 -1.0445e+02  1.1612e+01  -8.9945 < 2.2e-16 ***      
                fesisUSA.2014 -9.4808e+01  8.7833e+00 -10.7942 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   71.785  1 < 2.2e-16 ***      
                Ljung-Box ARCH(1) 65.206  1 6.661e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    12.44257      
                R-squared            0.96394      
                Log-lik.(n=624)  -2418.59903      

1

0.01

                Formula: count~ gdp + pop      
                 (1995:2020); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 11:17:45 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            8.5183e-01  2.2321e-02  38.1623 < 2.2e-16 ***      
                gdp            9.2381e-16  5.4998e-15   0.1680 0.8666696          
                pop            1.2613e-08  1.5124e-08   0.8340 0.4046785          
                idAUT          5.3225e-01  2.6927e+00   0.1977 0.8433821          
                idBEL          1.8579e-01  2.6902e+00   0.0691 0.9449662          
                idBRA         -3.0058e+00  3.7242e+00  -0.8071 0.4199787          
                idCAN          1.0977e+00  2.6961e+00   0.4071 0.6840774          
                idCHE          8.0090e-03  2.6933e+00   0.0030 0.9976285          
                idCHN         -9.4130e+00  1.9616e+01  -0.4799 0.6315254          
                idDEU          2.5953e+01  3.8014e+00   6.8273 2.393e-11 ***      
                idDNK          5.3122e+00  3.6172e+00   1.4686 0.1425421          
                idESP          5.1661e+00  2.7704e+00   1.8647 0.0627745 .        
                idFIN         -3.4536e-01  2.6967e+00  -0.1281 0.8981461          
                idFRA          2.4899e+00  2.7705e+00   0.8987 0.3692081          
                idGBR          6.1594e+00  2.8552e+00   2.1573 0.0314367 *        
                idIND         -1.3396e+01  1.8023e+01  -0.7433 0.4576506          
                idISR         -2.2266e-01  2.6939e+00  -0.0827 0.9341579          
                idITA          9.7622e-01  2.7460e+00   0.3555 0.7223542          
                idJPN          7.9640e+00  4.5252e+00   1.7599 0.0790003 .        
                idKOR          3.3623e+00  7.6091e+00   0.4419 0.6587592          
                idNLD          2.9281e+00  2.6974e+00   1.0855 0.2781793          
                idNOR          1.4791e+00  2.6975e+00   0.5483 0.5837044          
                idRUS         -1.8906e+00  3.2863e+00  -0.5753 0.5653352          
                idSGP          2.2980e-01  2.6975e+00   0.0852 0.9321431          
                idSWE          3.7595e-01  2.6920e+00   0.1397 0.8889877          
                idUSA          4.0538e+00  5.6458e+00   0.7180 0.4730615          
                time1996      -2.4501e+00  2.7086e+00  -0.9046 0.3661164          
                time1997      -3.1860e+00  2.7074e+00  -1.1768 0.2398202          
                time1998      -1.9090e+00  2.7091e+00  -0.7047 0.4813213          
                time1999      -4.6502e-01  2.7072e+00  -0.1718 0.8636840          
                time2000      -1.2064e+00  2.7042e+00  -0.4461 0.6556975          
                time2001       6.2052e-01  2.7038e+00   0.2295 0.8185708          
                time2002      -9.9163e-01  2.7029e+00  -0.3669 0.7138576          
                time2003      -6.5687e-02  2.7040e+00  -0.0243 0.9806283          
                time2004      -1.5850e+00  2.7111e+00  -0.5846 0.5590430          
                time2005      -7.1225e-01  2.7126e+00  -0.2626 0.7929839          
                time2006       2.9735e+00  2.7185e+00   1.0938 0.2745340          
                time2007       5.4023e+00  2.7192e+00   1.9867 0.0474716 *        
                time2008       9.7633e+00  2.7318e+00   3.5740 0.0003839 ***      
                time2009       1.0589e+01  2.7830e+00   3.8048 0.0001586 ***      
                time2010       5.2479e+00  2.8666e+00   1.8307 0.0677102 .        
                time2011       4.3183e+00  2.8413e+00   1.5198 0.1291567          
                time2012      -3.0746e+00  2.8291e+00  -1.0868 0.2776194          
                time2013      -2.8229e+00  2.8357e+00  -0.9955 0.3199641          
                time2014      -2.9816e+00  2.7884e+00  -1.0693 0.2854242          
                time2015      -2.9578e+00  2.7718e+00  -1.0671 0.2864150          
                time2016       2.5961e+00  2.7665e+00   0.9384 0.3484546          
                time2017       2.2011e+00  2.7904e+00   0.7888 0.4305698          
                time2018      -1.8810e+00  2.7827e+00  -0.6759 0.4993737          
                time2019      -5.7355e-01  2.8087e+00  -0.2042 0.8382742          
                time2020       5.7816e+00  2.8077e+00   2.0592 0.0399670 *        
                fesisCHN.2016  2.2263e+01  5.2203e+00   4.2646 2.374e-05 ***      
                fesisDEU.2010  1.1271e+02  1.0419e+01  10.8174 < 2.2e-16 ***      
                fesisDEU.2011 -1.0602e+02  1.2155e+01  -8.7229 < 2.2e-16 ***      
                fesisDEU.2013 -9.2916e+01  1.1905e+01  -7.8048 3.239e-14 ***      
                fesisDEU.2014  1.0404e+02  1.0827e+01   9.6100 < 2.2e-16 ***      
                fesisDEU.2019 -6.3998e+01  8.1556e+00  -7.8472 2.395e-14 ***      
                fesisDNK.2006  5.7322e+01  5.7365e+00   9.9925 < 2.2e-16 ***      
                fesisDNK.2012 -8.7827e+01  8.2192e+00 -10.6856 < 2.2e-16 ***      
                fesisDNK.2014  7.0443e+01  8.2656e+00   8.5225 < 2.2e-16 ***      
                fesisDNK.2019 -5.5085e+01  1.0759e+01  -5.1199 4.295e-07 ***      
                fesisDNK.2020  8.1423e+01  1.3749e+01   5.9221 5.745e-09 ***      
                fesisJPN.2010  6.2909e+01  1.0093e+01   6.2326 9.414e-10 ***      
                fesisJPN.2011 -5.4823e+01  1.0701e+01  -5.1232 4.225e-07 ***      
                fesisJPN.2016 -2.4760e+01  6.1909e+00  -3.9994 7.258e-05 ***      
                fesisUSA.2004  2.1655e+01  6.6460e+00   3.2583 0.0011932 **       
                fesisUSA.2007  8.4412e+01  8.3249e+00  10.1397 < 2.2e-16 ***      
                fesisUSA.2010 -5.6392e+01  1.1869e+01  -4.7514 2.610e-06 ***      
                fesisUSA.2011 -7.7386e+01  1.1930e+01  -6.4869 2.025e-10 ***      
                fesisUSA.2013  9.3003e+01  1.2061e+01   7.7114 6.271e-14 ***      
                fesisUSA.2014 -1.1083e+02  1.3756e+01  -8.0572 5.272e-15 ***      
                fesisUSA.2015  4.8529e+01  1.2046e+01   4.0285 6.441e-05 ***      
                fesisUSA.2017  6.5646e+01  1.1890e+01   5.5213 5.295e-08 ***      
                fesisUSA.2018 -7.7568e+01  1.1205e+01  -6.9225 1.297e-11 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   10.407  1  0.001255 **       
                Ljung-Box ARCH(1) 85.425  1 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression     9.49387      
                R-squared            0.97948      
                Log-lik.(n=600)  -2164.75079      
0.05

                Formula: count~ gdp + pop      
                 (1995:2020); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 11:17:41 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            7.8096e-01  2.1538e-02  36.2604 < 2.2e-16 ***      
                gdp            4.5282e-15  4.5931e-15   0.9859 0.3246593          
                pop            9.7736e-09  1.2831e-08   0.7617 0.4465717          
                idAUT          5.0797e-01  2.2295e+00   0.2278 0.8198615          
                idBEL          1.1598e-01  2.2273e+00   0.0521 0.9584908          
                idBRA         -2.8449e+00  3.1192e+00  -0.9121 0.3621624          
                idCAN          1.6830e+00  2.2342e+00   0.7533 0.4516058          
                idCHE         -1.2023e-01  2.2302e+00  -0.0539 0.9570264          
                idCHN         -8.5711e+00  1.6414e+01  -0.5222 0.6017688          
                idDEU          1.9567e+01  3.3498e+00   5.8412 9.212e-09 ***      
                idDNK          5.7404e+00  2.9976e+00   1.9150 0.0560451 .        
                idESP          5.1937e+00  2.6287e+00   1.9758 0.0487136 *        
                idFIN         -5.8309e-01  2.2333e+00  -0.2611 0.7941303          
                idFRA          3.4837e+00  2.3017e+00   1.5135 0.1307631          
                idGBR          8.7930e+00  2.4014e+00   3.6615 0.0002767 ***      
                idIND         -9.9442e+00  1.5285e+01  -0.6506 0.5155929          
                idISR         -3.9532e-01  2.2307e+00  -0.1772 0.8594054          
                idITA          1.6000e+00  2.2777e+00   0.7025 0.4827065          
                idJPN          8.5834e+00  3.7651e+00   2.2797 0.0230341 *        
                idKOR          4.8382e-01  6.3237e+00   0.0765 0.9390437          
                idNLD          3.6722e+00  2.2362e+00   1.6422 0.1011635          
                idNOR          1.5178e+00  2.2337e+00   0.6795 0.4971256          
                idRUS         -1.9216e+00  2.7428e+00  -0.7006 0.4838660          
                idSGP          2.7145e-01  2.2337e+00   0.1215 0.9033234          
                idSWE          4.5060e-01  2.2289e+00   0.2022 0.8398733          
                idUSA          5.2763e+00  4.7361e+00   1.1141 0.2657766          
                time1996      -2.2486e+00  2.2440e+00  -1.0021 0.3167833          
                time1997      -2.9305e+00  2.2431e+00  -1.3065 0.1919783          
                time1998      -1.6438e+00  2.2445e+00  -0.7324 0.4642808          
                time1999      -1.1867e-01  2.2431e+00  -0.0529 0.9578271          
                time2000      -6.8919e-01  2.2411e+00  -0.3075 0.7585681          
                time2001       1.2375e+00  2.2412e+00   0.5522 0.5810827          
                time2002      -1.6349e-01  2.2416e+00  -0.0729 0.9418865          
                time2003       8.3282e-01  2.2431e+00   0.3713 0.7105837          
                time2004      -7.2848e-01  2.2489e+00  -0.3239 0.7461220          
                time2005       2.0625e-01  2.2507e+00   0.0916 0.9270194          
                time2006       1.7761e+00  2.2606e+00   0.7857 0.4324280          
                time2007       4.3614e+00  2.2771e+00   1.9153 0.0560093 .        
                time2008       1.0830e+01  2.2877e+00   4.7338 2.854e-06 ***      
                time2009       9.6557e+00  2.3191e+00   4.1636 3.675e-05 ***      
                time2010       6.8422e+00  2.3888e+00   2.8644 0.0043498 **       
                time2011       4.6518e+00  2.3825e+00   1.9525 0.0514212 .        
                time2012      -3.1174e+00  2.3667e+00  -1.3172 0.1883570          
                time2013      -1.5417e+00  2.3546e+00  -0.6548 0.5129010          
                time2014      -8.9734e-02  2.3347e+00  -0.0384 0.9693562          
                time2015      -3.2983e-01  2.3185e+00  -0.1423 0.8869293          
                time2016       6.4380e-01  2.3411e+00   0.2750 0.7834272          
                time2017       4.6673e+00  2.3583e+00   1.9791 0.0483367 *        
                time2018      -2.4534e+00  2.3545e+00  -1.0420 0.2979156          
                time2019       6.9211e-01  2.3360e+00   0.2963 0.7671367          
                time2020       5.1357e+00  2.3495e+00   2.1858 0.0292782 *        
                fesisCHN.2009  1.2064e+01  3.9845e+00   3.0278 0.0025871 **       
                fesisCHN.2016  2.0116e+01  4.8225e+00   4.1713 3.557e-05 ***      
                fesisDEU.2006  4.2664e+01  5.0470e+00   8.4533 2.952e-16 ***      
                fesisDEU.2010  9.1384e+01  9.1104e+00  10.0308 < 2.2e-16 ***      
                fesisDEU.2011 -9.6501e+01  1.0147e+01  -9.5102 < 2.2e-16 ***      
                fesisDEU.2013 -9.6649e+01  9.8644e+00  -9.7978 < 2.2e-16 ***      
                fesisDEU.2014  7.4674e+01  1.0106e+01   7.3888 6.050e-13 ***      
                fesisDEU.2016  5.9236e+01  9.8520e+00   6.0126 3.470e-09 ***      
                fesisDEU.2017 -5.3290e+01  1.1439e+01  -4.6588 4.058e-06 ***      
                fesisDEU.2018  4.2393e+01  1.1376e+01   3.7264 0.0002158 ***      
                fesisDEU.2019 -8.7179e+01  9.8462e+00  -8.8541 < 2.2e-16 ***      
                fesisDNK.2006  6.8153e+01  4.9934e+00  13.6487 < 2.2e-16 ***      
                fesisDNK.2012 -8.1098e+01  6.8944e+00 -11.7629 < 2.2e-16 ***      
                fesisDNK.2014  4.3100e+01  8.2789e+00   5.2059 2.798e-07 ***      
                fesisDNK.2016  4.9292e+01  9.8521e+00   5.0032 7.758e-07 ***      
                fesisDNK.2017 -4.4516e+01  1.1426e+01  -3.8960 0.0001107 ***      
                fesisDNK.2018  4.7802e+01  1.1375e+01   4.2025 3.114e-05 ***      
                fesisDNK.2019 -8.1632e+01  1.1403e+01  -7.1586 2.838e-12 ***      
                fesisDNK.2020  7.9945e+01  1.1405e+01   7.0097 7.555e-12 ***      
                fesisESP.2011  3.7418e+01  6.0941e+00   6.1400 1.654e-09 ***      
                fesisESP.2013 -4.0590e+01  6.3673e+00  -6.3748 4.088e-10 ***      
                fesisJPN.2010  6.6021e+01  8.3708e+00   7.8870 1.877e-14 ***      
                fesisJPN.2011 -5.1634e+01  8.8790e+00  -5.8153 1.065e-08 ***      
                fesisJPN.2016 -2.6633e+01  5.1460e+00  -5.1755 3.268e-07 ***      
                fesisUSA.2004  2.5598e+01  5.5312e+00   4.6279 4.684e-06 ***      
                fesisUSA.2007  9.3254e+01  9.3001e+00  10.0272 < 2.2e-16 ***      
                fesisUSA.2008 -2.9540e+01  1.1563e+01  -2.5546 0.0109195 *        
                fesisUSA.2009  6.1492e+01  1.1410e+01   5.3893 1.080e-07 ***      
                fesisUSA.2010 -7.6125e+01  1.1589e+01  -6.5689 1.246e-10 ***      
                fesisUSA.2011 -7.8345e+01  9.8869e+00  -7.9242 1.439e-14 ***      
                fesisUSA.2013  8.4757e+01  1.0038e+01   8.4435 3.176e-16 ***      
                fesisUSA.2014 -1.1003e+02  1.1397e+01  -9.6542 < 2.2e-16 ***      
                fesisUSA.2015  4.4414e+01  1.0029e+01   4.4285 1.160e-05 ***      
                fesisUSA.2017  6.2028e+01  9.8606e+00   6.2905 6.785e-10 ***      
                fesisUSA.2018 -8.6904e+01  9.8655e+00  -8.8089 < 2.2e-16 ***      
                fesisUSA.2020  3.6719e+01  9.9118e+00   3.7046 0.0002348 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   13.620  1 0.0002238 ***      
                Ljung-Box ARCH(1) 36.953  1  1.21e-09 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression     7.85975      
                R-squared            0.98629      
                Log-lik.(n=600)  -2044.91617      

Log Count

0

0.01

                Formula: log_count~ lgdp + lpop      
                 (1995:2020); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 11:17:53 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 624       
                Sample: 1 to 624       
                      
                SPECIFIC mean equation:      
                      
                                  coef std.error  t-stat   p-value          
                lgdp           1.28148   0.21877  5.8577 8.056e-09 ***      
                lpop          -5.19254   0.62511 -8.3066 7.600e-16 ***      
                idAUT         -3.18123   0.51707 -6.1525 1.463e-09 ***      
                idBEL         -1.75354   0.40432 -4.3370 1.717e-05 ***      
                idBRA          9.37447   1.32140  7.0943 3.989e-12 ***      
                idCAN          2.42940   0.32348  7.5101 2.379e-13 ***      
                idCHE         -4.52128   0.56063 -8.0647 4.562e-15 ***      
                idCHN         17.55297   2.41167  7.2784 1.163e-12 ***      
                idDEU          8.88082   0.82982 10.7020 < 2.2e-16 ***      
                idDNK         -5.87173   0.85759 -6.8468 2.011e-11 ***      
                idESP          4.74485   0.54013  8.7846 < 2.2e-16 ***      
                idFIN         -4.32277   0.75798 -5.7030 1.917e-08 ***      
                idFRA          5.95462   0.69925  8.5157 < 2.2e-16 ***      
                idGBR          5.79188   0.71649  8.0837 3.968e-15 ***      
                idIND         15.17320   2.26702  6.6930 5.367e-11 ***      
                idISR         -5.60109   0.61976 -9.0375 < 2.2e-16 ***      
                idITA          5.28727   0.66256  7.9800 8.461e-15 ***      
                idJPN          2.67674   1.34370  1.9921 0.0468540 *        
                idKOR         -3.52037   1.33278 -2.6414 0.0084900 **       
                idNLD          0.31976   0.21325  1.4994 0.1343305          
                idNOR         -8.83193   0.98863 -8.9335 < 2.2e-16 ***      
                idRUS          5.36018   1.17217  4.5729 5.940e-06 ***      
                idSGP         -7.13865   0.88571 -8.0598 4.729e-15 ***      
                idSWE         -4.49778   0.62440 -7.2033 1.929e-12 ***      
                idUSA         12.09073   1.52093  7.9496 1.055e-14 ***      
                time1995      52.11965   9.38441  5.5539 4.342e-08 ***      
                time1996      52.35117   9.38957  5.5755 3.862e-08 ***      
                time1997      52.30647   9.39460  5.5677 4.028e-08 ***      
                time1998      52.36832   9.39905  5.5717 3.942e-08 ***      
                time1999      52.79968   9.40675  5.6130 3.147e-08 ***      
                time2000      52.88637   9.41183  5.6191 3.043e-08 ***      
                time2001      53.00988   9.41687  5.6292 2.879e-08 ***      
                time2002      53.12107   9.42113  5.6385 2.736e-08 ***      
                time2003      53.14418   9.42524  5.6385 2.736e-08 ***      
                time2004      53.40458   9.43144  5.6624 2.399e-08 ***      
                time2005      53.56353   9.43533  5.6769 2.215e-08 ***      
                time2006      53.92843   9.44078  5.7123 1.821e-08 ***      
                time2007      54.20479   9.44624  5.7382 1.576e-08 ***      
                time2008      54.45624   9.44480  5.7657 1.352e-08 ***      
                time2009      54.82341   9.44618  5.8038 1.092e-08 ***      
                time2010      54.83435   9.45127  5.8018 1.104e-08 ***      
                time2011      54.86707   9.45565  5.8026 1.099e-08 ***      
                time2012      54.72207   9.46003  5.7846 1.216e-08 ***      
                time2013      54.47634   9.46441  5.7559 1.428e-08 ***      
                time2014      54.45731   9.46775  5.7519 1.461e-08 ***      
                time2015      54.23059   9.47191  5.7254 1.693e-08 ***      
                time2016      54.31026   9.47642  5.7311 1.640e-08 ***      
                time2017      54.45925   9.48057  5.7443 1.524e-08 ***      
                time2018      54.32702   9.48446  5.7280 1.668e-08 ***      
                time2019      54.13873   9.48732  5.7064 1.881e-08 ***      
                time2020      54.42826   9.48833  5.7363 1.593e-08 ***      
                fesisAUS.2009 -0.54742   0.17925 -3.0539 0.0023671 **       
                fesisBEL.2003 -0.75192   0.28794 -2.6114 0.0092621 **       
                fesisBEL.2006 -1.59407   0.48948 -3.2566 0.0011964 **       
                fesisBEL.2007  1.82476   0.43919  4.1548 3.770e-05 ***      
                fesisBRA.2007 -0.81021   0.19743 -4.1038 4.675e-05 ***      
                fesisBRA.2015  0.93351   0.23047  4.0504 5.842e-05 ***      
                fesisCHN.2005  0.92279   0.26729  3.4524 0.0005981 ***      
                fesisDNK.2007  1.15175   0.17051  6.7547 3.627e-11 ***      
                fesisESP.2004  0.88295   0.17865  4.9424 1.024e-06 ***      
                fesisFIN.1999 -1.21892   0.23457 -5.1965 2.859e-07 ***      
                fesisGBR.2001  0.98326   0.19962  4.9256 1.112e-06 ***      
                fesisIND.2008  1.11044   0.20142  5.5130 5.415e-08 ***      
                fesisJPN.1999  1.00053   0.23829  4.1988 3.125e-05 ***      
                fesisNOR.2019  1.34011   0.31386  4.2698 2.302e-05 ***      
                fesisRUS.2004 -1.31956   0.20672 -6.3834 3.666e-10 ***      
                fesisSGP.2008  1.79683   0.23342  7.6979 6.392e-14 ***      
                fesisSGP.2014 -1.59625   0.23808 -6.7047 4.983e-11 ***      
                fesisSWE.2003 -1.33486   0.18305 -7.2922 1.060e-12 ***      
                fesisUSA.2003  1.29620   0.18306  7.0808 4.364e-12 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)   20.2457  1 6.811e-06 ***      
                Ljung-Box ARCH(1)  4.2118  1   0.04014 *        
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.41493      
                R-squared           0.93097      
                Log-lik.(n=624)  -301.52474      
0.05

                Formula: log_count~ lgdp + lpop      
                 (1995:2020); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 11:17:50 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 624       
                Sample: 1 to 624       
                      
                SPECIFIC mean equation:      
                      
                                  coef std.error  t-stat   p-value          
                lgdp           1.49754   0.21597  6.9341 1.166e-11 ***      
                lpop          -4.21994   0.69247 -6.0940 2.088e-09 ***      
                idAUT         -1.64536   0.58386 -2.8181 0.0050077 **       
                idBEL         -0.87272   0.44495 -1.9614 0.0503457 .        
                idBRA          7.04459   1.48115  4.7562 2.532e-06 ***      
                idCAN          1.60844   0.35949  4.4743 9.344e-06 ***      
                idCHE         -3.12179   0.64961 -4.8056 1.999e-06 ***      
                idCHN         13.35116   2.73992  4.8728 1.446e-06 ***      
                idDEU          7.32212   0.93477  7.8330 2.519e-14 ***      
                idDNK         -4.70056   0.93493 -5.0277 6.753e-07 ***      
                idESP          4.08187   0.57954  7.0433 5.706e-12 ***      
                idFIN         -2.64757   0.85650 -3.0912 0.0020961 **       
                idFRA          4.70920   0.78225  6.0201 3.211e-09 ***      
                idGBR          4.63669   0.79042  5.8661 7.759e-09 ***      
                idIND         10.48122   2.58595  4.0531 5.792e-05 ***      
                idISR         -4.40811   0.71554 -6.1605 1.413e-09 ***      
                idITA          3.75797   0.75989  4.9454 1.014e-06 ***      
                idJPN         -0.50293   1.47860 -0.3401 0.7338859          
                idKOR         -5.89216   1.35650 -4.3436 1.673e-05 ***      
                idNLD          0.64340   0.21815  2.9493 0.0033220 **       
                idNOR         -7.62247   1.06967 -7.1260 3.304e-12 ***      
                idRUS          2.57172   1.33964  1.9197 0.0554190 .        
                idSGP         -5.22461   1.01022 -5.1717 3.267e-07 ***      
                idSWE         -3.95772   0.65599 -6.0332 2.977e-09 ***      
                idUSA          8.69106   1.73301  5.0150 7.193e-07 ***      
                time1995      29.88206  10.78005  2.7720 0.0057629 **       
                time1996      30.09868  10.78590  2.7906 0.0054468 **       
                time1997      30.03827  10.79157  2.7835 0.0055650 **       
                time1998      30.08779  10.79662  2.7868 0.0055098 **       
                time1999      30.48910  10.80476  2.8218 0.0049501 **       
                time2000      30.56481  10.80992  2.8275 0.0048647 **       
                time2001      30.67741  10.81558  2.8364 0.0047327 **       
                time2002      30.74672  10.82248  2.8410 0.0046660 **       
                time2003      30.76747  10.82767  2.8416 0.0046580 **       
                time2004      31.01751  10.83451  2.8628 0.0043607 **       
                time2005      31.17645  10.83844  2.8765 0.0041795 **       
                time2006      31.52456  10.84454  2.9070 0.0037988 **       
                time2007      31.81312  10.85099  2.9318 0.0035119 **       
                time2008      32.05141  10.85017  2.9540 0.0032728 **       
                time2009      32.42485  10.85171  2.9880 0.0029351 **       
                time2010      32.51080  10.85395  2.9953 0.0028669 **       
                time2011      32.53071  10.85891  2.9958 0.0028626 **       
                time2012      32.37503  10.86393  2.9800 0.0030111 **       
                time2013      32.11811  10.86894  2.9550 0.0032620 **       
                time2014      32.07882  10.87301  2.9503 0.0033114 **       
                time2015      31.86931  10.87280  2.9311 0.0035198 **       
                time2016      31.93679  10.87793  2.9359 0.0034664 **       
                time2017      32.07339  10.88262  2.9472 0.0033443 **       
                time2018      31.92983  10.88702  2.9328 0.0035006 **       
                time2019      31.73620  10.89000  2.9143 0.0037124 **       
                time2020      32.03038  10.89139  2.9409 0.0034122 **       
                fesisAUS.2009 -0.78729   0.17659 -4.4583 1.004e-05 ***      
                fesisAUT.2002 -0.54611   0.18121 -3.0136 0.0027021 **       
                fesisBEL.2003 -0.71124   0.27077 -2.6267 0.0088644 **       
                fesisBEL.2006 -1.59648   0.45856 -3.4815 0.0005388 ***      
                fesisBEL.2007  1.72340   0.41192  4.1838 3.343e-05 ***      
                fesisBRA.2007 -0.95282   0.18713 -5.0917 4.900e-07 ***      
                fesisBRA.2015  0.88525   0.21670  4.0851 5.070e-05 ***      
                fesisCAN.2002  0.71405   0.20820  3.4296 0.0006504 ***      
                fesisCAN.2010 -0.65082   0.18914 -3.4410 0.0006241 ***      
                fesisCHE.2005 -0.51955   0.16593 -3.1311 0.0018352 **       
                fesisCHN.2000 -0.87606   0.25754 -3.4016 0.0007192 ***      
                fesisCHN.2005  1.08916   0.26700  4.0792 5.196e-05 ***      
                fesisDNK.2007  1.11237   0.16235  6.8516 1.986e-11 ***      
                fesisESP.2004  0.77657   0.17096  4.5423 6.861e-06 ***      
                fesisFIN.1999 -0.93750   0.24604 -3.8103 0.0001546 ***      
                fesisFIN.2007 -0.44437   0.17959 -2.4743 0.0136536 *        
                fesisGBR.2001  0.95238   0.18934  5.0299 6.679e-07 ***      
                fesisIND.2008  0.78749   0.19675  4.0025 7.139e-05 ***      
                fesisISR.2015 -0.64151   0.21860 -2.9346 0.0034809 **       
                fesisITA.2002  0.55595   0.18675  2.9769 0.0030418 **       
                fesisJPN.1999  1.08010   0.22719  4.7541 2.556e-06 ***      
                fesisNOR.2019  1.23316   0.29561  4.1715 3.522e-05 ***      
                fesisRUS.2004 -1.33922   0.19809 -6.7606 3.556e-11 ***      
                fesisSGP.2008  2.11100   0.31682  6.6631 6.594e-11 ***      
                fesisSGP.2010 -0.94889   0.34623 -2.7406 0.0063338 **       
                fesisSGP.2014 -1.40127   0.25053 -5.5932 3.538e-08 ***      
                fesisSWE.2003 -1.03475   0.20926 -4.9447 1.018e-06 ***      
                fesisSWE.2010 -0.58871   0.19424 -3.0308 0.0025550 **       
                fesisUSA.2000  0.71857   0.29069  2.4719 0.0137440 *        
                fesisUSA.2003  0.75059   0.25061  2.9950 0.0028695 **       
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    5.4942  1 0.0190799 *        
                Ljung-Box ARCH(1) 12.4219  1 0.0004243 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.38868      
                R-squared           0.94063      
                Log-lik.(n=624)  -255.24150      

1

0.01

                Formula: log_count~ lgdp + lpop      
                 (1995:2020); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 11:19:02 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.388291  0.035553 10.9216 < 2.2e-16 ***      
                lgdp           1.273964  0.156687  8.1306 2.989e-15 ***      
                lpop          -3.128883  0.607448 -5.1509 3.651e-07 ***      
                idAUT         -0.714679  0.534583 -1.3369 0.1818263          
                idBEL         -0.303742  0.403452 -0.7529 0.4518670          
                idBRA          5.211561  1.276989  4.0811 5.166e-05 ***      
                idCAN          1.566362  0.292959  5.3467 1.329e-07 ***      
                idCHE         -2.097211  0.586163 -3.5779 0.0003779 ***      
                idCHN          9.549005  2.348540  4.0659 5.503e-05 ***      
                idDEU          5.276433  0.825250  6.3937 3.530e-10 ***      
                idDNK         -3.509736  0.827573 -4.2410 2.622e-05 ***      
                idESP          3.612051  0.503857  7.1688 2.527e-12 ***      
                idFIN         -2.098682  0.778851 -2.6946 0.0072691 **       
                idFRA          3.639091  0.667280  5.4536 7.552e-08 ***      
                idGBR          4.084289  0.666733  6.1258 1.749e-09 ***      
                idIND          7.730876  2.256343  3.4263 0.0006589 ***      
                idISR         -2.959996  0.638259 -4.6376 4.436e-06 ***      
                idITA          3.381157  0.682728  4.9524 9.843e-07 ***      
                idJPN         -1.563560  1.159600 -1.3484 0.1781124          
                idKOR         -5.300842  0.954086 -5.5559 4.359e-08 ***      
                idNLD          0.819120  0.200779  4.0797 5.196e-05 ***      
                idNOR         -5.456507  0.961039 -5.6777 2.241e-08 ***      
                idRUS          1.598595  1.112085  1.4375 0.1511675          
                idSGP         -3.296559  0.914150 -3.6061 0.0003399 ***      
                idSWE         -2.908957  0.584699 -4.9751 8.801e-07 ***      
                idUSA          5.460138  1.554310  3.5129 0.0004807 ***      
                time1996      17.586007  9.229192  1.9055 0.0572540 .        
                time1997      17.374933  9.234072  1.8816 0.0604315 .        
                time1998      17.435503  9.237860  1.8874 0.0596481 .        
                time1999      17.844227  9.243961  1.9304 0.0540897 .        
                time2000      17.679123  9.251817  1.9109 0.0565540 .        
                time2001      17.783906  9.256719  1.9212 0.0552389 .        
                time2002      17.938998  9.262743  1.9367 0.0533103 .        
                time2003      17.807238  9.267573  1.9215 0.0552051 .        
                time2004      18.079712  9.274279  1.9494 0.0517642 .        
                time2005      18.161672  9.279936  1.9571 0.0508565 .        
                time2006      18.416276  9.287136  1.9830 0.0478797 *        
                time2007      18.512283  9.290793  1.9925 0.0468194 *        
                time2008      18.718499  9.298654  2.0130 0.0446116 *        
                time2009      18.911371  9.305663  2.0322 0.0426225 *        
                time2010      18.802361  9.311510  2.0193 0.0439584 *        
                time2011      18.811500  9.315471  2.0194 0.0439456 *        
                time2012      18.692928  9.318603  2.0060 0.0453613 *        
                time2013      18.496171  9.321683  1.9842 0.0477430 *        
                time2014      18.496989  9.324146  1.9838 0.0477918 *        
                time2015      18.331401  9.327560  1.9653 0.0498971 *        
                time2016      18.473276  9.330416  1.9799 0.0482269 *        
                time2017      18.581981  9.334397  1.9907 0.0470222 *        
                time2018      18.378283  9.338725  1.9680 0.0495881 *        
                time2019      18.240826  9.340394  1.9529 0.0513528 .        
                time2020      18.574363  9.341986  1.9883 0.0472913 *        
                fesisAUT.2002 -1.930434  0.466894 -4.1346 4.127e-05 ***      
                fesisAUT.2003  1.669206  0.446184  3.7411 0.0002030 ***      
                fesisBEL.2006 -1.994007  0.452867 -4.4031 1.289e-05 ***      
                fesisBEL.2007  1.851587  0.446289  4.1488 3.886e-05 ***      
                fesisDNK.2006  0.763755  0.182712  4.1801 3.404e-05 ***      
                fesisITA.1999 -1.578685  0.498226 -3.1686 0.0016192 **       
                fesisITA.2000  1.591877  0.443288  3.5911 0.0003597 ***      
                fesisJPN.1999  1.078400  0.273172  3.9477 8.945e-05 ***      
                fesisNOR.2019  1.067497  0.319627  3.3398 0.0008968 ***      
                fesisRUS.2004 -0.971525  0.210455 -4.6163 4.897e-06 ***      
                fesisSGP.2007  1.297458  0.248422  5.2228 2.528e-07 ***      
                fesisSGP.2012 -1.316885  0.246928 -5.3331 1.427e-07 ***      
                fesisSWE.2002 -0.890845  0.208480 -4.2731 2.283e-05 ***      
                fesisUSA.1997  1.485649  0.443102  3.3528 0.0008565 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df p-value        
                Ljung-Box AR(1)   2.1146  1 0.14590        
                Ljung-Box ARCH(1) 5.9805  1 0.01446 *      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.42193      
                R-squared           0.92674      
                Log-lik.(n=600)  -301.11821      
0.05

                Formula: log_count~ lgdp + lpop      
                 (1995:2020); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 11:18:59 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.371312  0.034498 10.7631 < 2.2e-16 ***      
                lgdp           0.574421  0.205443  2.7960 0.0053675 **       
                lpop          -2.628299  0.726332 -3.6186 0.0003255 ***      
                idAUT         -1.588836  0.618306 -2.5697 0.0104605 *        
                idBEL         -0.845884  0.464502 -1.8211 0.0691795 .        
                idBRA          4.670213  1.568279  2.9779 0.0030391 **       
                idCAN          1.520893  0.396965  3.8313 0.0001432 ***      
                idCHE         -2.181671  0.672206 -3.2455 0.0012487 **       
                idCHN          9.181415  2.879041  3.1891 0.0015144 **       
                idDEU          5.151537  1.013631  5.0823 5.230e-07 ***      
                idDNK         -3.166918  0.990822 -3.1963 0.0014779 **       
                idESP          3.055158  0.637312  4.7938 2.146e-06 ***      
                idFIN         -2.626768  0.891479 -2.9465 0.0033595 **       
                idFRA          3.923202  0.886354  4.4262 1.172e-05 ***      
                idGBR          3.039469  0.852672  3.5646 0.0003983 ***      
                idIND          8.010912  2.717191  2.9482 0.0033413 **       
                idISR         -2.552402  0.808858 -3.1556 0.0016958 **       
                idITA          3.068698  0.832896  3.6844 0.0002536 ***      
                idJPN          1.748174  1.488507  1.1744 0.2407595          
                idKOR         -1.681732  1.291185 -1.3025 0.1933385          
                idNLD          0.432827  0.243961  1.7742 0.0766280 .        
                idNOR         -4.201314  1.121717 -3.7454 0.0002005 ***      
                idRUS          3.212650  1.393696  2.3051 0.0215568 *        
                idSGP         -3.746943  1.063634 -3.5228 0.0004651 ***      
                idSWE         -1.837924  0.676578 -2.7165 0.0068199 **       
                idUSA          5.785076  1.867491  3.0978 0.0020564 **       
                time1996      28.612240 11.200024  2.5547 0.0109163 *        
                time1997      28.423376 11.205641  2.5365 0.0114907 *        
                time1998      28.414157 11.211651  2.5343 0.0115616 *        
                time1999      28.875161 11.218109  2.5740 0.0103326 *        
                time2000      28.677234 11.227882  2.5541 0.0109333 *        
                time2001      28.795519 11.233688  2.5633 0.0106511 *        
                time2002      28.939552 11.239698  2.5748 0.0103095 *        
                time2003      28.881825 11.243450  2.5688 0.0104872 *        
                time2004      29.063004 11.250953  2.5832 0.0100651 *        
                time2005      29.235374 11.252565  2.5981 0.0096429 **       
                time2006      29.522137 11.260512  2.6217 0.0090075 **       
                time2007      29.609830 11.264587  2.6286 0.0088308 **       
                time2008      29.865354 11.272826  2.6493 0.0083136 **       
                time2009      30.043904 11.279782  2.6635 0.0079755 **       
                time2010      29.979932 11.286376  2.6563 0.0081460 **       
                time2011      30.005661 11.291398  2.6574 0.0081199 **       
                time2012      29.891491 11.294931  2.6465 0.0083835 **       
                time2013      29.700708 11.299243  2.6286 0.0088313 **       
                time2014      29.709030 11.303150  2.6284 0.0088358 **       
                time2015      29.496337 11.306985  2.6087 0.0093538 **       
                time2016      29.699776 11.310965  2.6258 0.0089035 **       
                time2017      29.826318 11.315903  2.6358 0.0086479 **       
                time2018      29.639533 11.320982  2.6181 0.0091027 **       
                time2019      29.551992 11.323414  2.6098 0.0093233 **       
                time2020      29.796016 11.325276  2.6309 0.0087707 **       
                fesisAUS.2002  0.907238  0.277126  3.2737 0.0011328 **       
                fesisAUS.2005 -0.969445  0.253535 -3.8237 0.0001476 ***      
                fesisAUT.2000  0.951877  0.338962  2.8082 0.0051713 **       
                fesisAUT.2002 -2.473203  0.479418 -5.1588 3.556e-07 ***      
                fesisAUT.2003  1.575387  0.405065  3.8892 0.0001138 ***      
                fesisBEL.2006 -1.991687  0.410393 -4.8531 1.614e-06 ***      
                fesisBEL.2007  2.641223  0.554758  4.7610 2.508e-06 ***      
                fesisBEL.2008 -0.858571  0.411320 -2.0874 0.0373479 *        
                fesisBEL.2019 -0.927601  0.409789 -2.2636 0.0240145 *        
                fesisBEL.2020  1.336816  0.554231  2.4120 0.0162138 *        
                fesisBRA.2015  1.348283  0.401282  3.3599 0.0008375 ***      
                fesisBRA.2016 -1.265783  0.428702 -2.9526 0.0032953 **       
                fesisCHN.2004  0.908722  0.246529  3.6861 0.0002520 ***      
                fesisDNK.1998  1.743378  0.478234  3.6454 0.0002941 ***      
                fesisDNK.1999 -1.079408  0.419193 -2.5750 0.0103036 *        
                fesisDNK.2006  0.693187  0.183302  3.7817 0.0001741 ***      
                fesisFIN.2004  1.079456  0.417895  2.5831 0.0100675 *        
                fesisFIN.2005 -1.350351  0.403336 -3.3480 0.0008738 ***      
                fesisFRA.1998 -0.585881  0.291112 -2.0126 0.0446821 *        
                fesisGBR.2000  0.827438  0.218014  3.7953 0.0001650 ***      
                fesisIND.2005  0.753021  0.196405  3.8340 0.0001417 ***      
                fesisISR.2003 -1.310204  0.420418 -3.1164 0.0019329 **       
                fesisISR.2004  1.159197  0.409734  2.8291 0.0048497 **       
                fesisITA.1999 -1.559719  0.451380 -3.4554 0.0005948 ***      
                fesisITA.2000  1.525956  0.402438  3.7918 0.0001673 ***      
                fesisJPN.1999  1.512504  0.288398  5.2445 2.294e-07 ***      
                fesisJPN.2004 -0.596740  0.206530 -2.8894 0.0040232 **       
                fesisKOR.1998  0.825260  0.295139  2.7962 0.0053647 **       
                fesisNOR.2019  0.995119  0.290729  3.4228 0.0006691 ***      
                fesisRUS.2004 -0.729571  0.207407 -3.5176 0.0004741 ***      
                fesisSGP.2007  1.454712  0.236892  6.1408 1.644e-09 ***      
                fesisSGP.2012 -1.251024  0.226719 -5.5179 5.445e-08 ***      
                fesisSWE.2002 -0.629121  0.215659 -2.9172 0.0036864 **       
                fesisSWE.2010 -0.372281  0.184190 -2.0212 0.0437790 *        
                fesisUSA.1997  1.600717  0.403088  3.9711 8.173e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df p-value        
                Ljung-Box AR(1)   3.6692  1 0.05543 .      
                Ljung-Box ARCH(1) 5.3097  1 0.02121 *      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.38178      
                R-squared           0.94237      
                Log-lik.(n=600)  -230.61622      

Batteries

with IIS

Count

AR 0

0.01

                Formula: count~ gdp + pop      
                 (1995:2020); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 11:45:04 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 624       
                Sample: 1 to 624       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                gdp            1.4142e-12  6.8930e-14  20.5162 < 2.2e-16 ***      
                pop            1.8386e-08  1.1027e-07   0.1667 0.8676433          
                idAUT          1.2215e+01  1.1693e+01   1.0446 0.2966637          
                idBEL         -1.6588e+00  1.1663e+01  -0.1422 0.8869540          
                idBRA         -1.4467e+01  2.1953e+01  -0.6590 0.5101839          
                idCAN          2.7403e+01  1.1678e+01   2.3465 0.0193092 *        
                idCHE          4.0200e+00  1.1701e+01   0.3435 0.7313227          
                idCHN         -2.5472e+01  1.3729e+02  -0.1855 0.8528775          
                idDEU          8.6113e+01  1.5637e+01   5.5069 5.650e-08 ***      
                idDNK         -6.7018e+00  1.1737e+01  -0.5710 0.5682282          
                idESP         -4.1864e+00  1.1874e+01  -0.3526 0.7245461          
                idFIN         -3.3943e+00  1.1738e+01  -0.2892 0.7725632          
                idFRA          7.3411e+01  1.2511e+01   5.8675 7.713e-09 ***      
                idGBR          3.5007e+01  1.2437e+01   2.8148 0.0050578 **       
                idIND         -8.7542e+01  1.2011e+02  -0.7288 0.4664143          
                idISR          3.8031e+00  1.1707e+01   0.3248 0.7454223          
                idITA          5.0738e+00  1.2308e+01   0.4122 0.6803356          
                idJPN          1.7823e+02  3.8602e+01   4.6172 4.864e-06 ***      
                idKOR         -1.0108e+03  5.5863e+01 -18.0944 < 2.2e-16 ***      
                idNLD          1.1770e+00  1.1617e+01   0.1013 0.9193360          
                idNOR         -8.5009e+00  1.1750e+01  -0.7235 0.4696879          
                idRUS         -9.9868e+01  1.8065e+01  -5.5283 5.036e-08 ***      
                idSGP         -1.7900e+00  1.1748e+01  -0.1524 0.8789557          
                idSWE         -2.3837e+00  1.1683e+01  -0.2040 0.8384099          
                idUSA          2.1243e+02  3.5317e+01   6.0150 3.316e-09 ***      
                time1995      -2.2122e+00  1.1978e+01  -0.1847 0.8535406          
                time1996      -3.3298e+00  1.1990e+01  -0.2777 0.7813461          
                time1997      -6.6993e-01  1.2008e+01  -0.0558 0.9555297          
                time1998       1.7617e+00  1.2033e+01   0.1464 0.8836585          
                time1999      -3.9583e+00  1.1936e+01  -0.3316 0.7403055          
                time2000       2.8922e+00  1.1957e+01   0.2419 0.8089593          
                time2001      -1.5286e-01  1.1978e+01  -0.0128 0.9898224          
                time2002      -9.3958e+00  1.1999e+01  -0.7830 0.4339449          
                time2003      -1.0073e+01  1.2026e+01  -0.8375 0.4026620          
                time2004      -2.5390e+00  1.2057e+01  -0.2106 0.8332860          
                time2005      -4.1174e+00  1.2012e+01  -0.3428 0.7318987          
                time2006      -3.4877e-01  1.2153e+01  -0.0287 0.9771164          
                time2007       3.9358e+00  1.2245e+01   0.3214 0.7480076          
                time2008       5.5051e+00  1.2279e+01   0.4483 0.6540860          
                time2009      -3.5258e+00  1.2304e+01  -0.2866 0.7745572          
                time2010      -4.3435e+00  1.2288e+01  -0.3535 0.7238696          
                time2011       1.0464e+01  1.2100e+01   0.8648 0.3875426          
                time2012       1.9157e+01  1.2123e+01   1.5803 0.1146248          
                time2013       3.2998e+01  1.2148e+01   2.7164 0.0068099 **       
                time2014       2.2288e+01  1.2176e+01   1.8305 0.0677312 .        
                time2015       8.2870e+00  1.2207e+01   0.6789 0.4975091          
                time2016       6.0116e+00  1.2322e+01   0.4879 0.6258223          
                time2017       2.4477e+01  1.2349e+01   1.9821 0.0479761 *        
                time2018       3.2483e+01  1.2379e+01   2.6240 0.0089371 **       
                time2019       2.4662e+01  1.2409e+01   1.9874 0.0473765 *        
                time2020       4.5722e+01  1.2427e+01   3.6792 0.0002574 ***      
                iis179         1.6104e+02  6.0508e+01   2.6615 0.0080109 **       
                iis180         3.1034e+02  6.0520e+01   5.1280 4.086e-07 ***      
                iis181         4.9980e+02  6.0532e+01   8.2568 1.153e-15 ***      
                iis182         5.6804e+02  6.0542e+01   9.3825 < 2.2e-16 ***      
                iis417        -3.1984e+02  4.5417e+01  -7.0424 5.764e-12 ***      
                iis418        -3.0671e+02  4.5381e+01  -6.7584 3.619e-11 ***      
                iis419        -2.8693e+02  4.5374e+01  -6.3237 5.352e-10 ***      
                iis420        -2.6604e+02  4.5380e+01  -5.8626 7.933e-09 ***      
                iis431         3.0898e+02  5.2391e+01   5.8975 6.504e-09 ***      
                iis432         9.9840e+02  5.2381e+01  19.0602 < 2.2e-16 ***      
                iis433         1.4457e+03  5.2392e+01  27.5942 < 2.2e-16 ***      
                iis434         1.3366e+03  5.2388e+01  25.5132 < 2.2e-16 ***      
                iis435         9.7217e+02  5.2389e+01  18.5566 < 2.2e-16 ***      
                iis436         1.0292e+03  5.2388e+01  19.6451 < 2.2e-16 ***      
                iis437         1.0431e+03  5.2393e+01  19.9100 < 2.2e-16 ***      
                iis438         1.0669e+03  5.2433e+01  20.3487 < 2.2e-16 ***      
                iis439         1.4435e+03  5.2443e+01  27.5262 < 2.2e-16 ***      
                iis440         1.5299e+03  5.2445e+01  29.1725 < 2.2e-16 ***      
                iis441         1.0414e+03  5.2438e+01  19.8601 < 2.2e-16 ***      
                iis442         8.7955e+02  5.2427e+01  16.7765 < 2.2e-16 ***      
                iis454        -3.4872e+02  5.2841e+01  -6.5994 9.860e-11 ***      
                iis455        -4.3222e+02  5.0388e+01  -8.5778 < 2.2e-16 ***      
                iis456        -5.1392e+02  4.9194e+01 -10.4468 < 2.2e-16 ***      
                fesisCHN.2005  1.5462e+02  2.0614e+01   7.5005 2.624e-13 ***      
                fesisCHN.2016  4.4811e+02  4.4992e+01   9.9596 < 2.2e-16 ***      
                fesisDEU.2009  4.1495e+02  1.6909e+01  24.5399 < 2.2e-16 ***      
                fesisIND.2011 -9.7133e+01  2.9612e+01  -3.2802 0.0011042 **       
                fesisJPN.2007  2.3096e+02  3.3892e+01   6.8146 2.528e-11 ***      
                fesisKOR.2000 -2.3488e+02  3.2123e+01  -7.3117 9.545e-13 ***      
                fesisKOR.2006  2.0802e+02  4.6356e+01   4.4873 8.816e-06 ***      
                fesisUSA.2000  9.4850e+01  2.3492e+01   4.0376 6.179e-05 ***      
                fesisUSA.2010  5.0869e+02  1.8933e+01  26.8675 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   74.338  1 < 2.2e-16 ***      
                Ljung-Box ARCH(1) 47.417  1 5.738e-12 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    41.84141      
                R-squared            0.99063      
                Log-lik.(n=624)  -3173.86290      
0.05

                Formula: count~ gdp + pop      
                 (1995:2020); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 11:45:02 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 624       
                Sample: 1 to 624       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                gdp            1.2513e-12  6.7931e-14  18.4197 < 2.2e-16 ***      
                pop           -9.6864e-09  9.4086e-08  -0.1030 0.9180394          
                idAUT          1.1653e+01  9.9218e+00   1.1745 0.2407393          
                idBEL         -2.1434e+00  9.8965e+00  -0.2166 0.8286164          
                idBRA         -9.4088e+00  1.8698e+01  -0.5032 0.6150245          
                idCAN          2.7772e+01  9.9096e+00   2.8025 0.0052552 **       
                idCHE          3.4848e+00  9.9293e+00   0.3510 0.7257590          
                idCHN          1.2386e+01  1.1711e+02   0.1058 0.9158087          
                idDEU          5.6647e+01  1.8806e+01   3.0122 0.0027168 **       
                idDNK         -7.0845e+00  9.9599e+00  -0.7113 0.4772065          
                idESP         -3.6316e+00  1.0078e+01  -0.3604 0.7187207          
                idFIN         -4.0598e+00  9.9605e+00  -0.4076 0.6837403          
                idFRA          7.4684e+01  1.0624e+01   7.0300 6.350e-12 ***      
                idGBR          3.6177e+01  1.0560e+01   3.4259 0.0006600 ***      
                idIND         -4.8364e+01  1.0238e+02  -0.4724 0.6368282          
                idISR          3.3132e+00  9.9345e+00   0.3335 0.7388818          
                idITA          6.1439e+00  1.0450e+01   0.5879 0.5568164          
                idJPN          2.6223e+02  3.6541e+01   7.1763 2.414e-12 ***      
                idKOR         -8.8699e+02  5.3987e+01 -16.4296 < 2.2e-16 ***      
                idNLD          8.9510e-01  9.8573e+00   0.0908 0.9276812          
                idNOR         -8.7595e+00  9.9716e+00  -0.8784 0.3800985          
                idRUS         -6.2701e+01  1.6672e+01  -3.7608 0.0001881 ***      
                idSGP         -2.4551e+00  9.9692e+00  -0.2463 0.8055671          
                idSWE         -2.3757e+00  9.9150e+00  -0.2396 0.8107235          
                idUSA          2.2152e+02  3.0097e+01   7.3603 6.995e-13 ***      
                time1995      -2.2861e+00  1.0185e+01  -0.2244 0.8224950          
                time1996      -2.9538e+00  1.0195e+01  -0.2897 0.7721320          
                time1997       1.0750e-01  1.0209e+01   0.0105 0.9916024          
                time1998       2.3162e+00  1.0230e+01   0.2264 0.8209692          
                time1999      -2.9121e+00  1.0145e+01  -0.2870 0.7741910          
                time2000       1.5066e-01  1.0170e+01   0.0148 0.9881860          
                time2001      -2.4975e+00  1.0187e+01  -0.2452 0.8064172          
                time2002      -7.3287e+00  1.0287e+01  -0.7124 0.4765311          
                time2003      -7.3051e+00  1.0313e+01  -0.7083 0.4790464          
                time2004      -3.3568e+00  1.0253e+01  -0.3274 0.7435078          
                time2005      -4.6471e+00  1.0217e+01  -0.4549 0.6494000          
                time2006      -1.8552e-01  1.0326e+01  -0.0180 0.9856721          
                time2007       4.1079e+00  1.0404e+01   0.3949 0.6931090          
                time2008       5.7408e+00  1.0433e+01   0.5503 0.5823689          
                time2009      -7.3259e+00  1.0525e+01  -0.6961 0.4866838          
                time2010       5.4491e+00  1.0490e+01   0.5195 0.6036419          
                time2011       2.0071e+01  1.0323e+01   1.9443 0.0523837 .        
                time2012       2.9147e+01  1.0339e+01   2.8190 0.0049962 **       
                time2013       3.2155e+01  1.0337e+01   3.1105 0.0019675 **       
                time2014       2.1932e+01  1.0358e+01   2.1174 0.0346926 *        
                time2015       8.3764e+00  1.0383e+01   0.8068 0.4201544          
                time2016       6.2621e+00  1.0479e+01   0.5976 0.5503801          
                time2017       2.5237e+01  1.0501e+01   2.4033 0.0165902 *        
                time2018       2.9984e+01  1.0631e+01   2.8203 0.0049766 **       
                time2019       2.0563e+01  1.0656e+01   1.9297 0.0541741 .        
                time2020       4.7198e+01  1.0567e+01   4.4664 9.717e-06 ***      
                iis179         1.6160e+02  5.1341e+01   3.1476 0.0017382 **       
                iis180         3.1521e+02  5.1382e+01   6.1346 1.665e-09 ***      
                iis181         5.0722e+02  5.1393e+01   9.8695 < 2.2e-16 ***      
                iis182         5.7031e+02  5.1371e+01  11.1019 < 2.2e-16 ***      
                iis417        -3.2560e+02  3.8562e+01  -8.4435 2.931e-16 ***      
                iis418        -3.1056e+02  3.8522e+01  -8.0619 4.975e-15 ***      
                iis419        -2.9042e+02  3.8514e+01  -7.5407 2.026e-13 ***      
                iis420        -2.7029e+02  3.8521e+01  -7.0167 6.929e-12 ***      
                iis431         3.0763e+02  4.4531e+01   6.9083 1.403e-11 ***      
                iis432         9.8674e+02  4.4457e+01  22.1953 < 2.2e-16 ***      
                iis433         1.4342e+03  4.4465e+01  32.2555 < 2.2e-16 ***      
                iis434         1.3259e+03  4.4463e+01  29.8196 < 2.2e-16 ***      
                iis435         9.7398e+02  4.4466e+01  21.9041 < 2.2e-16 ***      
                iis436         1.0307e+03  4.4464e+01  23.1813 < 2.2e-16 ***      
                iis437         1.0456e+03  4.4472e+01  23.5119 < 2.2e-16 ***      
                iis438         1.0699e+03  4.4507e+01  24.0389 < 2.2e-16 ***      
                iis439         1.4475e+03  4.4521e+01  32.5125 < 2.2e-16 ***      
                iis440         1.5377e+03  4.4548e+01  34.5179 < 2.2e-16 ***      
                iis441         1.0504e+03  4.4539e+01  23.5843 < 2.2e-16 ***      
                iis442         8.7911e+02  4.4495e+01  19.7576 < 2.2e-16 ***      
                iis450        -9.1882e+01  4.0550e+01  -2.2659 0.0238578 *        
                iis451        -9.9595e+01  4.0581e+01  -2.4542 0.0144375 *        
                iis454        -4.3704e+02  4.8337e+01  -9.0415 < 2.2e-16 ***      
                iis455        -5.0905e+02  4.5515e+01 -11.1843 < 2.2e-16 ***      
                iis456        -5.8449e+02  4.4113e+01 -13.2499 < 2.2e-16 ***      
                iis457        -2.6773e+02  4.3751e+01  -6.1194 1.821e-09 ***      
                iis622         8.2598e+01  3.9250e+01   2.1044 0.0358120 *        
                iis623         1.2632e+02  3.9252e+01   3.2182 0.0013682 **       
                fesisCHN.2005  1.5989e+02  1.7503e+01   9.1349 < 2.2e-16 ***      
                fesisCHN.2016  4.5567e+02  3.8188e+01  11.9324 < 2.2e-16 ***      
                fesisDEU.2000  4.9893e+01  2.0306e+01   2.4571 0.0143243 *        
                fesisDEU.2009  3.9561e+02  1.6079e+01  24.6034 < 2.2e-16 ***      
                fesisIND.2011 -8.1317e+01  2.5175e+01  -3.2301 0.0013140 **       
                fesisJPN.2007  2.3562e+02  2.8775e+01   8.1881 1.971e-15 ***      
                fesisKOR.2000 -1.5719e+02  3.0602e+01  -5.1366 3.930e-07 ***      
                fesisKOR.2006  2.9412e+02  4.7626e+01   6.1756 1.308e-09 ***      
                fesisRUS.2010 -5.3423e+01  1.4628e+01  -3.6522 0.0002857 ***      
                fesisUSA.2000  7.4997e+01  2.0313e+01   3.6920 0.0002454 ***      
                fesisUSA.2009  3.1273e+02  2.1904e+01  14.2775 < 2.2e-16 ***      
                fesisUSA.2013  2.5992e+02  2.3477e+01  11.0717 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   68.689  1 < 2.2e-16 ***      
                Ljung-Box ARCH(1) 13.199  1 0.0002801 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    35.50223      
                R-squared            0.99336      
                Log-lik.(n=624)  -3067.34527      

AR 1

0.01

                Formula: count~ gdp + pop      
                 (1995:2020); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 11:44:57 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            9.7583e-01  1.0793e-02  90.4095 < 2.2e-16 ***      
                gdp           -2.7810e-14  2.9015e-14  -0.9585 0.3382725          
                pop            5.5066e-08  3.4966e-08   1.5748 0.1159023          
                idAUT          2.4137e+00  6.1586e+00   0.3919 0.6952746          
                idBEL          7.7653e-02  6.1520e+00   0.0126 0.9899337          
                idBRA         -1.0302e+01  8.5425e+00  -1.2059 0.2283832          
                idCAN          2.9796e-01  6.1619e+00   0.0484 0.9614519          
                idCHE          6.6443e-01  6.1594e+00   0.1079 0.9141382          
                idCHN         -4.7252e+01  4.5247e+01  -1.0443 0.2968214          
                idDEU          2.4035e+01  7.1024e+00   3.3841 0.0007677 ***      
                idDNK         -1.3603e-01  6.1667e+00  -0.0221 0.9824100          
                idESP         -1.9666e+00  6.1928e+00  -0.3176 0.7509438          
                idFIN          1.2776e-01  6.1664e+00   0.0207 0.9834785          
                idFRA          6.3115e+00  6.3611e+00   0.9922 0.3215625          
                idGBR          2.2298e+00  6.3118e+00   0.3533 0.7240259          
                idIND         -6.0969e+01  4.1343e+01  -1.4747 0.1408850          
                idISR          1.7515e-01  6.1605e+00   0.0284 0.9773285          
                idITA         -1.9208e+00  6.2766e+00  -0.3060 0.7597062          
                idJPN          4.7722e+01  1.9281e+01   2.4751 0.0136345 *        
                idKOR          5.5754e+01  2.9596e+01   1.8838 0.0601399 .        
                idNLD         -6.0776e-01  6.1432e+00  -0.0989 0.9212293          
                idNOR          1.3336e-01  6.1696e+00   0.0216 0.9827633          
                idRUS         -5.7492e+00  7.5571e+00  -0.7608 0.4471368          
                idSGP          4.7607e-01  6.1681e+00   0.0772 0.9385076          
                idSWE          1.3034e+00  6.1565e+00   0.2117 0.8324188          
                idUSA          2.4245e+01  1.2646e+01   1.9172 0.0557506 .        
                time1996      -3.2385e+00  6.1904e+00  -0.5232 0.6010906          
                time1997      -9.7746e-02  6.1873e+00  -0.0158 0.9874017          
                time1998      -6.0727e+00  6.1904e+00  -0.9810 0.3270459          
                time1999      -2.0864e+00  6.2012e+00  -0.3364 0.7366711          
                time2000      -5.8603e+00  6.1957e+00  -0.9459 0.3446526          
                time2001      -2.5652e+00  6.1984e+00  -0.4138 0.6791555          
                time2002      -7.1249e+00  6.2008e+00  -1.1490 0.2510638          
                time2003      -6.0028e+00  6.1892e+00  -0.9699 0.3325554          
                time2004       3.8883e+00  6.1928e+00   0.6279 0.5303559          
                time2005       1.0285e+00  6.1935e+00   0.1661 0.8681745          
                time2006      -4.8808e+00  6.1982e+00  -0.7875 0.4313726          
                time2007       3.5872e+00  6.2596e+00   0.5731 0.5668384          
                time2008      -1.0606e+00  6.2433e+00  -0.1699 0.8651683          
                time2009       1.2557e+01  6.3352e+00   1.9821 0.0479845 *        
                time2010       9.8997e+00  6.3437e+00   1.5606 0.1192310          
                time2011       6.0351e+00  6.3016e+00   0.9577 0.3386475          
                time2012       4.0624e+00  6.3064e+00   0.6442 0.5197466          
                time2013      -7.0731e+00  6.4500e+00  -1.0966 0.2733152          
                time2014      -1.5914e+00  6.3442e+00  -0.2508 0.8020364          
                time2015      -6.9340e+00  6.3544e+00  -1.0912 0.2756775          
                time2016       5.7612e-01  6.3399e+00   0.0909 0.9276284          
                time2017       1.5782e+01  6.3344e+00   2.4915 0.0130282 *        
                time2018       5.4515e+00  6.3641e+00   0.8566 0.3920564          
                time2019      -9.0680e+00  6.3922e+00  -1.4186 0.1566059          
                time2020       2.7316e+00  6.5035e+00   0.4200 0.6746474          
                iis171         1.3445e+02  2.5507e+01   5.2712 1.984e-07 ***      
                iis412         1.1673e+02  2.4853e+01   4.6967 3.382e-06 ***      
                iis414         3.6110e+02  2.8371e+01  12.7278 < 2.2e-16 ***      
                iis415         7.8811e+02  2.7671e+01  28.4811 < 2.2e-16 ***      
                iis416         5.5457e+02  2.7273e+01  20.3343 < 2.2e-16 ***      
                iis418        -3.5362e+02  2.5878e+01 -13.6650 < 2.2e-16 ***      
                iis422         2.8820e+02  3.1628e+01   9.1123 < 2.2e-16 ***      
                iis424        -5.8205e+02  3.1377e+01 -18.5499 < 2.2e-16 ***      
                iis425        -2.8130e+02  3.1663e+01  -8.8844 < 2.2e-16 ***      
                iis439         1.7562e+02  2.6720e+01   6.5728 1.195e-10 ***      
                iis440         1.9982e+02  2.5370e+01   7.8762 1.958e-14 ***      
                iis443         1.9693e+02  2.4277e+01   8.1120 3.559e-15 ***      
                iis444        -2.7675e+02  2.4334e+01 -11.3731 < 2.2e-16 ***      
                iis445        -2.7188e+02  2.4014e+01 -11.3219 < 2.2e-16 ***      
                iis450         3.2520e+02  2.4450e+01  13.3004 < 2.2e-16 ***      
                iis593         1.8586e+02  2.2798e+01   8.1521 2.651e-15 ***      
                fesisCHN.2016  1.5053e+02  1.5072e+01   9.9870 < 2.2e-16 ***      
                fesisJPN.1999  1.4742e+02  2.0307e+01   7.2593 1.413e-12 ***      
                fesisJPN.2001 -2.3636e+02  2.2276e+01 -10.6104 < 2.2e-16 ***      
                fesisJPN.2003  1.3322e+02  1.9219e+01   6.9315 1.228e-11 ***      
                fesisJPN.2008 -1.3174e+02  2.2038e+01  -5.9778 4.185e-09 ***      
                fesisJPN.2013  1.3261e+02  2.0459e+01   6.4818 2.094e-10 ***      
                fesisJPN.2017  7.3795e+01  2.6050e+01   2.8328 0.0047915 **       
                fesisKOR.2009  1.1528e+02  2.2625e+01   5.0952 4.872e-07 ***      
                fesisUSA.2020 -1.6375e+02  2.3334e+01  -7.0174 7.026e-12 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                      Chi-sq df   p-value          
                Ljung-Box AR(1)    0.0030411  1     0.956          
                Ljung-Box ARCH(1) 16.1228455  1 5.936e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    21.71074      
                R-squared            0.99754      
                Log-lik.(n=600)  -2660.04737      
0.05

                Formula: count~ gdp + pop      
                 (1995:2020); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 11:44:53 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            9.9191e-01  1.0136e-02  97.8646 < 2.2e-16 ***      
                gdp           -6.0205e-14  2.6171e-14  -2.3005  0.021820 *        
                pop            1.5033e-07  5.2597e-08   2.8581  0.004433 **       
                idAUT          3.4816e+00  5.5002e+00   0.6330  0.527012          
                idBEL          1.1143e+00  5.4822e+00   0.2033  0.839010          
                idBRA         -2.6310e+01  1.0487e+01  -2.5088  0.012421 *        
                idCAN         -1.2779e+00  5.4912e+00  -0.2327  0.816072          
                idCHE          1.9039e+00  5.5021e+00   0.3460  0.729466          
                idCHN         -1.7035e+02  6.7571e+01  -2.5210  0.012003 *        
                idDEU          1.9697e+01  6.6715e+00   2.9524  0.003297 **       
                idDNK          1.4955e+00  5.5170e+00   0.2711  0.786440          
                idESP         -4.0912e+00  5.5854e+00  -0.7325  0.464214          
                idFIN          1.7103e+00  5.5184e+00   0.3099  0.756737          
                idFRA          1.1461e+00  5.8912e+00   0.1945  0.845827          
                idGBR         -2.1630e+00  5.8456e+00  -0.3700  0.711521          
                idIND         -1.5665e+02  5.7059e+01  -2.7453  0.006256 **       
                idISR          1.4499e+00  5.5048e+00   0.2634  0.792357          
                idITA         -5.5523e+00  5.7896e+00  -0.9590  0.338009          
                idJPN          4.3299e+01  1.7861e+01   2.4242  0.015685 *        
                idKOR          7.1032e+01  2.6570e+01   2.6734  0.007747 **       
                idNLD         -1.6503e-01  5.4600e+00  -0.0302  0.975899          
                idNOR          1.8705e+00  5.5228e+00   0.3387  0.734982          
                idRUS         -1.5226e+01  8.6130e+00  -1.7678  0.077685 .        
                idSGP          2.0897e+00  5.5233e+00   0.3784  0.705325          
                idSWE          2.5338e+00  5.4914e+00   0.4614  0.644699          
                idUSA         -9.3498e+00  1.5701e+01  -0.5955  0.551788          
                time1996      -3.9230e+00  5.5227e+00  -0.7103  0.477816          
                time1997      -9.2391e-01  5.5268e+00  -0.1672  0.867302          
                time1998      -7.2198e+00  5.5348e+00  -1.3044  0.192671          
                time1999      -4.8376e+00  5.5830e+00  -0.8665  0.386623          
                time2000      -5.4874e+00  5.5915e+00  -0.9814  0.326864          
                time2001      -3.9123e+00  5.5720e+00  -0.7021  0.482910          
                time2002      -8.5053e+00  5.5855e+00  -1.5227  0.128436          
                time2003      -6.6612e+00  5.5937e+00  -1.1909  0.234259          
                time2004      -3.3400e+00  5.6637e+00  -0.5897  0.555633          
                time2005      -3.3335e+00  5.6574e+00  -0.5892  0.555960          
                time2006      -6.0016e+00  5.6311e+00  -1.0658  0.287018          
                time2007       1.7188e+00  5.6967e+00   0.3017  0.762987          
                time2008      -2.6921e+00  5.7048e+00  -0.4719  0.637192          
                time2009       1.0714e+01  5.6705e+00   1.8894  0.059394 .        
                time2010       7.6709e+00  5.6815e+00   1.3501  0.177562          
                time2011       3.3036e+00  5.6493e+00   0.5848  0.558949          
                time2012       5.8047e-01  5.6546e+00   0.1027  0.918278          
                time2013      -3.1364e+00  5.8644e+00  -0.5348  0.592998          
                time2014      -4.8533e+00  5.7099e+00  -0.8500  0.395729          
                time2015      -1.0349e+01  5.7276e+00  -1.8068  0.071376 .        
                time2016      -2.4063e+00  5.7040e+00  -0.4219  0.673296          
                time2017       1.2214e+01  5.7609e+00   2.1202  0.034468 *        
                time2018       1.8545e+00  5.7848e+00   0.3206  0.748660          
                time2019      -1.4791e+01  5.8055e+00  -2.5477  0.011133 *        
                time2020       2.4556e+00  5.9109e+00   0.4154  0.677993          
                iis171         2.7464e+02  2.0662e+01  13.2925 < 2.2e-16 ***      
                iis172         1.4564e+02  2.1180e+01   6.8762 1.782e-11 ***      
                iis173         1.3490e+02  2.1640e+01   6.2335 9.488e-10 ***      
                iis174         1.7629e+02  2.2157e+01   7.9563 1.131e-14 ***      
                iis175         6.3568e+01  2.3100e+01   2.7518  0.006136 **       
                iis193        -1.4281e+02  2.0451e+01  -6.9827 8.952e-12 ***      
                iis404         2.7891e+02  2.4310e+01  11.4731 < 2.2e-16 ***      
                iis405         1.9942e+02  2.4141e+01   8.2606 1.228e-15 ***      
                iis410         8.1676e+01  2.2745e+01   3.5909  0.000361 ***      
                iis412         1.3357e+02  2.2801e+01   5.8580 8.352e-09 ***      
                iis414         3.7209e+02  2.5340e+01  14.6836 < 2.2e-16 ***      
                iis415         7.9530e+02  2.4640e+01  32.2769 < 2.2e-16 ***      
                iis416         5.5076e+02  2.4228e+01  22.7322 < 2.2e-16 ***      
                iis418        -3.6590e+02  2.3045e+01 -15.8772 < 2.2e-16 ***      
                iis422         2.9460e+02  2.8153e+01  10.4643 < 2.2e-16 ***      
                iis424        -5.8158e+02  2.7896e+01 -20.8481 < 2.2e-16 ***      
                iis425        -2.7898e+02  2.8150e+01  -9.9105 < 2.2e-16 ***      
                iis434         1.5608e+02  2.0697e+01   7.5408 2.118e-13 ***      
                iis439         1.7688e+02  2.3821e+01   7.4252 4.687e-13 ***      
                iis440         1.9929e+02  2.2569e+01   8.8301 < 2.2e-16 ***      
                iis443         1.8534e+02  2.1599e+01   8.5812 < 2.2e-16 ***      
                iis444        -2.8422e+02  2.1650e+01 -13.1284 < 2.2e-16 ***      
                iis445        -2.7478e+02  2.1334e+01 -12.8799 < 2.2e-16 ***      
                iis450         3.2209e+02  2.1762e+01  14.8008 < 2.2e-16 ***      
                iis593         1.7435e+02  2.0293e+01   8.5915 < 2.2e-16 ***      
                iis600        -1.7751e+02  2.0814e+01  -8.5284 < 2.2e-16 ***      
                fesisIND.2009 -2.9555e+01  1.3689e+01  -2.1591  0.031300 *        
                fesisJPN.1999 -9.3839e+01  1.8318e+01  -5.1228 4.260e-07 ***      
                fesisJPN.2003  1.1599e+02  1.7993e+01   6.4463 2.635e-10 ***      
                fesisJPN.2008 -1.2848e+02  2.0644e+01  -6.2237 1.006e-09 ***      
                fesisJPN.2013  1.2903e+02  1.8188e+01   7.0942 4.315e-12 ***      
                fesisJPN.2017  6.7411e+01  2.3184e+01   2.9076  0.003798 **       
                fesisKOR.2009  1.3388e+02  2.0467e+01   6.5410 1.474e-10 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                     Chi-sq df  p-value         
                Ljung-Box AR(1)    0.062802  1 0.802120         
                Ljung-Box ARCH(1) 10.664927  1 0.001092 **      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    19.28095      
                R-squared            0.99809      
                Log-lik.(n=600)  -2584.83364      

Log Count

AR 0

0.01

                Formula: log_count~ lgdp + lpop      
                 (1995:2020); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 11:45:03 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 624       
                Sample: 1 to 624       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                lgdp           1.879204  0.113868 16.5034 < 2.2e-16 ***      
                lpop          -3.060188  0.502874 -6.0854 2.172e-09 ***      
                idAUT         -0.052712  0.437294 -0.1205 0.9040981          
                idBEL         -0.236272  0.334081 -0.7072 0.4797229          
                idBRA          3.964868  1.067687  3.7135 0.0002251 ***      
                idCAN          2.496421  0.236992 10.5338 < 2.2e-16 ***      
                idCHE         -1.096427  0.487476 -2.2492 0.0248929 *        
                idCHN          9.177279  1.960693  4.6806 3.601e-06 ***      
                idDEU          5.707170  0.690921  8.2602 1.078e-15 ***      
                idDNK         -4.046092  0.721550 -5.6075 3.245e-08 ***      
                idESP          2.411341  0.398079  6.0574 2.558e-09 ***      
                idFIN         -0.770178  0.637974 -1.2072 0.2278618          
                idFRA          4.815960  0.547443  8.7972 < 2.2e-16 ***      
                idGBR          4.487377  0.539519  8.3174 7.035e-16 ***      
                idIND          5.087165  1.891889  2.6889 0.0073843 **       
                idISR         -1.630041  0.596684 -2.7318 0.0064996 **       
                idITA          3.352817  0.512833  6.5378 1.421e-10 ***      
                idJPN         -0.519595  0.884327 -0.5876 0.5570679          
                idKOR         -6.843654  0.711093 -9.6241 < 2.2e-16 ***      
                idNLD          1.368865  0.163130  8.3913 4.036e-16 ***      
                idNOR         -6.790737  0.785030 -8.6503 < 2.2e-16 ***      
                idRUS         -0.870820  0.922969 -0.9435 0.3458380          
                idSGP         -2.479023  0.768655 -3.2251 0.0013335 **       
                idSWE         -4.180711  0.473309 -8.8329 < 2.2e-16 ***      
                idUSA          7.626996  1.252666  6.0886 2.132e-09 ***      
                time1995       0.342227  7.737692  0.0442 0.9647381          
                time1996       0.430488  7.741174  0.0556 0.9556725          
                time1997       0.664007  7.745562  0.0857 0.9317141          
                time1998       0.540363  7.748769  0.0697 0.9444295          
                time1999       0.683939  7.751623  0.0882 0.9297244          
                time2000       0.806135  7.754910  0.1040 0.9172455          
                time2001       0.745070  7.758254  0.0960 0.9235270          
                time2002       0.616882  7.758346  0.0795 0.9366541          
                time2003       0.648397  7.762657  0.0835 0.9334621          
                time2004       0.650297  7.762595  0.0838 0.9332671          
                time2005       0.797065  7.766477  0.1026 0.9182947          
                time2006       0.842025  7.770037  0.1084 0.9137429          
                time2007       0.944306  7.778365  0.1214 0.9034171          
                time2008       1.022932  7.784730  0.1314 0.8955048          
                time2009       1.298548  7.788998  0.1667 0.8676547          
                time2010       1.480492  7.791951  0.1900 0.8493768          
                time2011       1.608056  7.795095  0.2063 0.8366398          
                time2012       1.636653  7.799388  0.2098 0.8338668          
                time2013       1.664436  7.802839  0.2133 0.8311626          
                time2014       1.618295  7.806265  0.2073 0.8358463          
                time2015       1.551515  7.809579  0.1987 0.8425953          
                time2016       1.730577  7.813836  0.2215 0.8248036          
                time2017       1.794815  7.816754  0.2296 0.8184787          
                time2018       1.956728  7.819539  0.2502 0.8024980          
                time2019       1.806122  7.820338  0.2310 0.8174376          
                time2020       2.021463  7.824401  0.2584 0.7962301          
                iis58         -1.008226  0.362981 -2.7776 0.0056616 **       
                iis133        -1.794614  0.351620 -5.1038 4.584e-07 ***      
                iis158        -1.165880  0.362183 -3.2190 0.0013617 **       
                iis378         1.410915  0.354836  3.9762 7.931e-05 ***      
                iis389        -1.211448  0.357292 -3.3906 0.0007471 ***      
                fesisAUT.2009  0.915361  0.138287  6.6193 8.550e-11 ***      
                fesisBEL.2005  0.477842  0.145434  3.2856 0.0010820 **       
                fesisBRA.2010 -1.134441  0.178987 -6.3381 4.830e-10 ***      
                fesisBRA.2015  0.799015  0.209427  3.8152 0.0001514 ***      
                fesisDEU.2007  0.610395  0.146023  4.1801 3.387e-05 ***      
                fesisDNK.1997 -1.265232  0.259960 -4.8670 1.480e-06 ***      
                fesisDNK.2012 -1.216217  0.219256 -5.5470 4.510e-08 ***      
                fesisDNK.2015  1.004621  0.243769  4.1212 4.347e-05 ***      
                fesisFIN.2003 -0.516578  0.149808 -3.4483 0.0006071 ***      
                fesisISR.2002 -0.620100  0.173456 -3.5750 0.0003809 ***      
                fesisKOR.2003  0.739430  0.151258  4.8885 1.333e-06 ***      
                fesisNLD.2008 -0.847228  0.138343 -6.1241 1.731e-09 ***      
                fesisRUS.2007 -0.675299  0.165971 -4.0688 5.414e-05 ***      
                fesisRUS.2016 -1.016106  0.193384 -5.2543 2.124e-07 ***      
                fesisSGP.2004  0.498862  0.162388  3.0720 0.0022307 **       
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df  p-value         
                Ljung-Box AR(1)   7.4929  1 0.006194 **      
                Ljung-Box ARCH(1) 8.4036  1 0.003745 **      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.33706      
                R-squared           0.97222      
                Log-lik.(n=624)  -171.32050      
0.05

                Formula: log_count~ lgdp + lpop      
                 (1995:2020); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 11:44:59 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 624       
                Sample: 1 to 624       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error   t-stat   p-value          
                lgdp           1.858504  0.103185  18.0114 < 2.2e-16 ***      
                lpop          -2.914166  0.458616  -6.3543 4.535e-10 ***      
                idAUT          0.059468  0.395460   0.1504 0.8805239          
                idBEL         -0.156398  0.302630  -0.5168 0.6055152          
                idBRA          3.976477  0.964610   4.1224 4.355e-05 ***      
                idCAN          3.057101  0.262223  11.6584 < 2.2e-16 ***      
                idCHE         -0.968149  0.442577  -2.1875 0.0291428 *        
                idCHN          8.636832  1.783162   4.8435 1.679e-06 ***      
                idDEU          5.537788  0.628402   8.8125 < 2.2e-16 ***      
                idDNK         -5.907529  0.694781  -8.5027 < 2.2e-16 ***      
                idESP          2.174083  0.364964   5.9570 4.700e-09 ***      
                idFIN         -0.659242  0.579114  -1.1384 0.2554857          
                idFRA          4.661905  0.498388   9.3540 < 2.2e-16 ***      
                idGBR          4.334145  0.491399   8.8200 < 2.2e-16 ***      
                idIND          4.579925  1.719171   2.6640 0.0079575 **       
                idISR         -1.406867  0.542666  -2.5925 0.0097923 **       
                idITA          3.207366  0.467054   6.8672 1.849e-11 ***      
                idJPN         -0.659841  0.795341  -0.8296 0.4071223          
                idKOR         -6.647376  0.641067 -10.3692 < 2.2e-16 ***      
                idNLD          1.237227  0.152698   8.1024 3.776e-15 ***      
                idNOR         -6.507737  0.727384  -8.9468 < 2.2e-16 ***      
                idRUS         -1.190283  0.835539  -1.4246 0.1548738          
                idSGP         -2.161996  0.699426  -3.0911 0.0020996 **       
                idSWE         -3.865273  0.435800  -8.8694 < 2.2e-16 ***      
                idUSA          7.289072  1.138541   6.4021 3.393e-10 ***      
                time1995      -1.597467  7.008682  -0.2279 0.8197915          
                time1996      -1.544816  7.012841  -0.2203 0.8257354          
                time1997      -1.229399  7.016444  -0.1752 0.8609765          
                time1998      -1.415543  7.018800  -0.2017 0.8402457          
                time1999      -1.262450  7.020559  -0.1798 0.8573615          
                time2000      -1.180297  7.023363  -0.1681 0.8666061          
                time2001      -1.130394  7.026866  -0.1609 0.8722594          
                time2002      -1.254835  7.026924  -0.1786 0.8583399          
                time2003      -1.163978  7.029828  -0.1656 0.8685533          
                time2004      -1.213524  7.031727  -0.1726 0.8630491          
                time2005      -1.078586  7.035532  -0.1533 0.8782160          
                time2006      -0.971380  7.037949  -0.1380 0.8902770          
                time2007      -0.870268  7.045530  -0.1235 0.9017420          
                time2008      -0.799364  7.051300  -0.1134 0.9097851          
                time2009      -0.496419  7.054988  -0.0704 0.9439305          
                time2010      -0.385699  7.057661  -0.0546 0.9564383          
                time2011      -0.258564  7.060474  -0.0366 0.9708008          
                time2012      -0.234840  7.064233  -0.0332 0.9734930          
                time2013      -0.224379  7.067666  -0.0317 0.9746856          
                time2014      -0.223858  7.070743  -0.0317 0.9747553          
                time2015      -0.367437  7.073781  -0.0519 0.9585934          
                time2016      -0.231331  7.076853  -0.0327 0.9739354          
                time2017      -0.057604  7.080064  -0.0081 0.9935115          
                time2018       0.067128  7.082575   0.0095 0.9924415          
                time2019      -0.088474  7.083327  -0.0125 0.9900390          
                time2020       0.138244  7.087304   0.0195 0.9844450          
                iis58         -0.909915  0.323450  -2.8132 0.0050889 **       
                iis101        -0.896236  0.351618  -2.5489 0.0110888 *        
                iis133        -1.776601  0.311441  -5.7044 1.948e-08 ***      
                iis158        -1.080637  0.320877  -3.3678 0.0008132 ***      
                iis209         1.838528  0.431165   4.2641 2.379e-05 ***      
                iis210         2.442385  0.430876   5.6684 2.376e-08 ***      
                iis264         0.775728  0.325374   2.3841 0.0174732 *        
                iis378         1.375538  0.313597   4.3863 1.393e-05 ***      
                iis389        -1.197170  0.316148  -3.7867 0.0001702 ***      
                iis443        -0.883902  0.323899  -2.7289 0.0065661 **       
                iis469         0.668206  0.320395   2.0856 0.0374981 *        
                iis470         0.728680  0.320032   2.2769 0.0231922 *        
                iis474         0.736093  0.319885   2.3011 0.0217742 *        
                iis483        -0.716924  0.316947  -2.2620 0.0241060 *        
                iis500         1.094621  0.319841   3.4224 0.0006690 ***      
                iis514        -1.134988  0.319176  -3.5560 0.0004105 ***      
                iis521         0.791982  0.321103   2.4664 0.0139635 *        
                iis531         0.753240  0.320609   2.3494 0.0191716 *        
                iis543        -1.010085  0.319764  -3.1588 0.0016748 **       
                iis544        -1.023059  0.319708  -3.2000 0.0014571 **       
                iis545        -0.928283  0.320069  -2.9003 0.0038842 **       
                iis546        -1.223577  0.320095  -3.8225 0.0001479 ***      
                iis555        -0.722149  0.323123  -2.2349 0.0258421 *        
                iis577         0.968125  0.322814   2.9990 0.0028365 **       
                fesisAUT.2009  0.898918  0.122964   7.3104 9.946e-13 ***      
                fesisBEL.2004  0.430340  0.133183   3.2312 0.0013097 **       
                fesisBRA.1999 -0.423006  0.180158  -2.3480 0.0192446 *        
                fesisBRA.2010 -1.045783  0.165053  -6.3360 5.062e-10 ***      
                fesisBRA.2015  1.461140  0.254877   5.7327 1.665e-08 ***      
                fesisBRA.2017 -0.729867  0.277950  -2.6259 0.0088935 **       
                fesisCAN.1998 -0.703915  0.189058  -3.7233 0.0002178 ***      
                fesisDEU.2007  0.582776  0.130155   4.4776 9.262e-06 ***      
                fesisDNK.1998  1.432822  0.351837   4.0724 5.368e-05 ***      
                fesisDNK.2001 -0.750066  0.199404  -3.7615 0.0001878 ***      
                fesisDNK.2012 -1.118742  0.199274  -5.6141 3.200e-08 ***      
                fesisDNK.2015  1.035275  0.215400   4.8063 2.008e-06 ***      
                fesisESP.2013  0.398293  0.131553   3.0276 0.0025855 **       
                fesisFIN.2003 -0.487959  0.139433  -3.4996 0.0005054 ***      
                fesisISR.2002 -0.723228  0.155008  -4.6658 3.904e-06 ***      
                fesisKOR.2004  0.561826  0.135292   4.1527 3.832e-05 ***      
                fesisNLD.2008 -0.652998  0.133516  -4.8908 1.336e-06 ***      
                fesisNOR.2006 -0.747176  0.180955  -4.1291 4.234e-05 ***      
                fesisNOR.2010  0.897794  0.181169   4.9555 9.735e-07 ***      
                fesisRUS.2007 -0.629629  0.150079  -4.1953 3.197e-05 ***      
                fesisSGP.2004  0.342617  0.149755   2.2879 0.0225409 *        
                fesisSWE.2004 -0.327310  0.132828  -2.4642 0.0140515 *        
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df p-value        
                Ljung-Box AR(1)   4.9186  1 0.02657 *      
                Ljung-Box ARCH(1) 2.6651  1 0.10257        
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.29778      
                R-squared          0.97934      
                Log-lik.(n=624)  -81.00591      

AR 1

0.01

                Formula: log_count~ lgdp + lpop      
                 (1995:2020); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 11:46:18 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.247811  0.035231  7.0340 6.263e-12 ***      
                lgdp           1.429085  0.129119 11.0680 < 2.2e-16 ***      
                lpop          -2.070578  0.413133 -5.0119 7.371e-07 ***      
                idAUT          0.189473  0.355370  0.5332 0.5941398          
                idBEL          0.266918  0.272304  0.9802 0.3274263          
                idBRA          2.471250  0.855729  2.8879 0.0040377 **       
                idCAN          1.738642  0.214103  8.1206 3.307e-15 ***      
                idCHE         -0.498882  0.390894 -1.2763 0.2024262          
                idCHN          5.939694  1.574737  3.7719 0.0001804 ***      
                idDEU          3.950764  0.584389  6.7605 3.658e-11 ***      
                idDNK         -2.935098  0.597198 -4.9148 1.189e-06 ***      
                idESP          1.669425  0.333925  4.9994 7.842e-07 ***      
                idFIN         -0.515613  0.519442 -0.9926 0.3213467          
                idFRA          3.392904  0.467288  7.2608 1.389e-12 ***      
                idGBR          3.108963  0.457832  6.7906 3.020e-11 ***      
                idIND          2.849778  1.500905  1.8987 0.0581490 .        
                idISR         -1.332513  0.427722 -3.1154 0.0019372 **       
                idITA          2.274092  0.424957  5.3513 1.304e-07 ***      
                idJPN         -0.902339  0.751402 -1.2009 0.2303396          
                idKOR         -4.996961  0.723682 -6.9049 1.450e-11 ***      
                idNLD          1.086567  0.160888  6.7536 3.823e-11 ***      
                idNOR         -4.771741  0.676067 -7.0581 5.346e-12 ***      
                idRUS         -1.441472  0.726849 -1.9832 0.0478662 *        
                idSGP         -1.225750  0.569317 -2.1530 0.0317704 *        
                idSWE         -2.999638  0.418134 -7.1739 2.485e-12 ***      
                idUSA          5.079024  1.023932  4.9603 9.510e-07 ***      
                time1996      -3.952549  6.164329 -0.6412 0.5216735          
                time1997      -3.691001  6.167159 -0.5985 0.5497682          
                time1998      -3.951685  6.170071 -0.6405 0.5221519          
                time1999      -3.839981  6.172308 -0.6221 0.5341252          
                time2000      -3.739482  6.175265 -0.6056 0.5450689          
                time2001      -3.715837  6.178637 -0.6014 0.5478317          
                time2002      -3.918572  6.181717 -0.6339 0.5264231          
                time2003      -3.796387  6.184058 -0.6139 0.5395470          
                time2004      -3.822465  6.186749 -0.6178 0.5369430          
                time2005      -3.711068  6.189678 -0.5996 0.5490588          
                time2006      -3.616504  6.192989 -0.5840 0.5594920          
                time2007      -3.572308  6.198915 -0.5763 0.5646722          
                time2008      -3.562120  6.202644 -0.5743 0.5660162          
                time2009      -3.330170  6.206342 -0.5366 0.5917874          
                time2010      -3.192333  6.209093 -0.5141 0.6073707          
                time2011      -3.105763  6.211820 -0.5000 0.6173004          
                time2012      -3.115981  6.215173 -0.5014 0.6163337          
                time2013      -3.083215  6.217969 -0.4959 0.6202030          
                time2014      -3.179806  6.220929 -0.5111 0.6094626          
                time2015      -3.160513  6.225218 -0.5077 0.6118795          
                time2016      -3.027010  6.228047 -0.4860 0.6271489          
                time2017      -2.935921  6.230644 -0.4712 0.6376882          
                time2018      -2.852409  6.233002 -0.4576 0.6474069          
                time2019      -3.043272  6.233264 -0.4882 0.6255894          
                time2020      -2.809797  6.236494 -0.4505 0.6525056          
                iis55         -1.230385  0.336798 -3.6532 0.0002849 ***      
                iis97         -1.422449  0.362522 -3.9238 9.872e-05 ***      
                iis127        -1.950415  0.337119 -5.7855 1.241e-08 ***      
                iis133        -1.046210  0.337224 -3.1024 0.0020224 **       
                iis151        -1.190451  0.346722 -3.4334 0.0006429 ***      
                iis202        -2.012675  0.371252 -5.4213 9.021e-08 ***      
                iis206        -1.255490  0.346366 -3.6247 0.0003173 ***      
                iis363         1.242759  0.336481  3.6934 0.0002444 ***      
                iis374        -1.305754  0.340544 -3.8343 0.0001411 ***      
                iis480         1.120769  0.337059  3.3251 0.0009453 ***      
                iis486        -1.103627  0.336945 -3.2754 0.0011245 **       
                iis510         1.061516  0.338496  3.1360 0.0018084 **       
                iis554         1.202777  0.336337  3.5761 0.0003808 ***      
                fesisAUT.2009  0.723473  0.137203  5.2730 1.962e-07 ***      
                fesisBRA.2010 -0.915796  0.174857 -5.2374 2.358e-07 ***      
                fesisBRA.2015  0.907331  0.209156  4.3381 1.723e-05 ***      
                fesisDEU.2007  0.499349  0.140763  3.5474 0.0004237 ***      
                fesisDNK.2001 -0.724323  0.196220 -3.6914 0.0002463 ***      
                fesisDNK.2012 -1.252356  0.256484 -4.8828 1.389e-06 ***      
                fesisDNK.2014  1.046397  0.264291  3.9593 8.550e-05 ***      
                fesisNLD.2007 -0.618729  0.137205 -4.5095 8.014e-06 ***      
                fesisRUS.2015 -0.961291  0.166634 -5.7689 1.362e-08 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                    Chi-sq df p-value        
                Ljung-Box AR(1)   0.090243  1 0.76387        
                Ljung-Box ARCH(1) 3.157777  1 0.07557 .      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.32235      
                R-squared           0.97472      
                Log-lik.(n=600)  -135.59693      
0.05

                Formula: log_count~ lgdp + lpop      
                 (1995:2020); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 11:46:17 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.231392  0.033789  6.8481 2.168e-11 ***      
                lgdp           1.299054  0.118950 10.9210 < 2.2e-16 ***      
                lpop          -1.810811  0.407381 -4.4450 1.080e-05 ***      
                idAUT          0.194237  0.360466  0.5388 0.5902277          
                idBEL          0.262528  0.274916  0.9549 0.3400622          
                idBRA          1.951195  0.854182  2.2843 0.0227664 *        
                idCAN          1.632866  0.205084  7.9619 1.116e-14 ***      
                idCHE         -0.414941  0.393428 -1.0547 0.2920735          
                idCHN          5.295285  1.576718  3.3584 0.0008427 ***      
                idDEU          3.681781  0.571410  6.4433 2.717e-10 ***      
                idDNK         -2.751216  0.591060 -4.6547 4.146e-06 ***      
                idESP          1.418343  0.324129  4.3759 1.469e-05 ***      
                idFIN         -0.503279  0.527295 -0.9545 0.3403075          
                idFRA          3.148514  0.455684  6.9094 1.463e-11 ***      
                idGBR          2.840972  0.446364  6.3647 4.377e-10 ***      
                idIND          1.507271  1.508846  0.9990 0.3182916          
                idISR         -0.731411  0.480119 -1.5234 0.1282822          
                idITA          2.002453  0.416809  4.8042 2.048e-06 ***      
                idJPN         -0.557440  0.751124 -0.7421 0.4583450          
                idKOR         -4.634533  0.687818 -6.7380 4.365e-11 ***      
                idNLD          0.956204  0.157658  6.0650 2.578e-09 ***      
                idNOR         -4.312106  0.655551 -6.5778 1.189e-10 ***      
                idRUS         -1.521516  0.739834 -2.0566 0.0402384 *        
                idSGP         -1.089855  0.573226 -1.9013 0.0578328 .        
                idSWE         -2.700476  0.400572 -6.7416 4.269e-11 ***      
                idUSA          4.730938  1.019259  4.6415 4.407e-06 ***      
                time1996      -4.651757  6.297279 -0.7387 0.4604344          
                time1997      -4.374986  6.302610 -0.6942 0.4879025          
                time1998      -4.733277  6.301630 -0.7511 0.4529285          
                time1999      -4.503352  6.304368 -0.7143 0.4753559          
                time2000      -4.419718  6.307131 -0.7007 0.4837802          
                time2001      -4.411186  6.308544 -0.6992 0.4847222          
                time2002      -4.617305  6.308542 -0.7319 0.4645590          
                time2003      -4.427433  6.311673 -0.7015 0.4833326          
                time2004      -4.474402  6.315583 -0.7085 0.4789783          
                time2005      -4.394747  6.317721 -0.6956 0.4869836          
                time2006      -4.255633  6.320360 -0.6733 0.5010491          
                time2007      -4.250112  6.326450 -0.6718 0.5020161          
                time2008      -4.244272  6.330516 -0.6704 0.5028780          
                time2009      -3.976087  6.333133 -0.6278 0.5304019          
                time2010      -3.866240  6.335580 -0.6102 0.5419741          
                time2011      -3.810451  6.336845 -0.6013 0.5478972          
                time2012      -3.782192  6.340943 -0.5965 0.5511260          
                time2013      -3.749334  6.343855 -0.5910 0.5547711          
                time2014      -3.805321  6.346632 -0.5996 0.5490527          
                time2015      -3.841328  6.351226 -0.6048 0.5455708          
                time2016      -3.706396  6.354085 -0.5833 0.5599441          
                time2017      -3.596983  6.356417 -0.5659 0.5717238          
                time2018      -3.499706  6.358488 -0.5504 0.5822876          
                time2019      -3.692000  6.358883 -0.5806 0.5617641          
                time2020      -3.435931  6.362146 -0.5401 0.5893933          
                iis9          -0.807391  0.303334 -2.6617 0.0080205 **       
                iis55         -1.275541  0.302959 -4.2103 3.017e-05 ***      
                iis58         -0.925738  0.302216 -3.0632 0.0023063 **       
                iis97         -1.170090  0.343660 -3.4048 0.0007145 ***      
                iis127        -1.927295  0.303300 -6.3544 4.657e-10 ***      
                iis128         0.715922  0.309042  2.3166 0.0209232 *        
                iis133        -1.060686  0.302985 -3.5008 0.0005047 ***      
                iis151        -1.325190  0.312898 -4.2352 2.711e-05 ***      
                iis201         0.706678  0.343094  2.0597 0.0399340 *        
                iis202        -1.844084  0.345722 -5.3340 1.449e-07 ***      
                iis206        -1.224990  0.310830 -3.9410 9.250e-05 ***      
                iis236        -0.793859  0.302904 -2.6208 0.0090344 **       
                iis253         1.063946  0.302888  3.5127 0.0004832 ***      
                iis363         1.399406  0.304433  4.5968 5.422e-06 ***      
                iis374        -1.172989  0.306454 -3.8276 0.0001455 ***      
                iis455         0.641883  0.310729  2.0657 0.0393605 *        
                iis464        -0.815970  0.307789 -2.6511 0.0082742 **       
                iis475        -0.639937  0.307604 -2.0804 0.0379902 *        
                iis480         1.080536  0.303215  3.5636 0.0004003 ***      
                iis486        -1.164270  0.302968 -3.8429 0.0001370 ***      
                iis494        -0.933774  0.302320 -3.0887 0.0021204 **       
                iis507         0.698689  0.304753  2.2926 0.0222765 *        
                iis510         1.109860  0.304147  3.6491 0.0002904 ***      
                iis527        -0.865433  0.307997 -2.8099 0.0051473 **       
                iis541         0.857594  0.303616  2.8246 0.0049200 **       
                iis554         1.165085  0.301913  3.8590 0.0001285 ***      
                fesisAUT.2009  0.742346  0.123942  5.9894 3.988e-09 ***      
                fesisBRA.2010 -0.905629  0.157617 -5.7458 1.579e-08 ***      
                fesisBRA.2015  1.238073  0.248169  4.9888 8.356e-07 ***      
                fesisBRA.2017 -0.581861  0.270386 -2.1520 0.0318707 *        
                fesisDEU.2007  0.531348  0.128000  4.1512 3.879e-05 ***      
                fesisDNK.2001 -0.573707  0.195640 -2.9325 0.0035147 **       
                fesisDNK.2012 -1.256824  0.230234 -5.4589 7.505e-08 ***      
                fesisDNK.2014  1.044198  0.237101  4.4040 1.297e-05 ***      
                fesisIND.1997  0.982181  0.362726  2.7078 0.0070019 **       
                fesisIND.1999 -0.942690  0.296316 -3.1814 0.0015554 **       
                fesisIND.2001  0.818837  0.224189  3.6524 0.0002867 ***      
                fesisISR.2002 -0.559893  0.154834 -3.6161 0.0003289 ***      
                fesisKOR.2004  0.480012  0.132874  3.6125 0.0003334 ***      
                fesisNLD.2007 -0.458001  0.130727 -3.5035 0.0004998 ***      
                fesisRUS.2015 -0.890726  0.150990 -5.8992 6.673e-09 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                    Chi-sq df p-value        
                Ljung-Box AR(1)   0.079556  1 0.77790        
                Ljung-Box ARCH(1) 3.108623  1 0.07788 .      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.28914      
                R-squared          0.98040      
                Log-lik.(n=600)  -60.86115      

without IIS

Count

0

0.01

                Formula: count~ gdp + pop      
                 (1995:2020); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 11:47:33 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 624       
                Sample: 1 to 624       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                gdp            1.9283e-12  6.6070e-14  29.1862 < 2.2e-16 ***      
                pop           -3.2545e-08  1.4100e-07  -0.2308 0.8175503          
                idAUT          1.2166e+01  1.5007e+01   0.8107 0.4178918          
                idBEL         -1.6139e+00  1.4970e+01  -0.1078 0.9141855          
                idBRA         -6.8313e+00  2.8107e+01  -0.2430 0.8080597          
                idCAN          2.7899e+01  1.4989e+01   1.8614 0.0632177 .        
                idCHE          3.8008e+00  1.5018e+01   0.2531 0.8003024          
                idCHN          2.8423e+01  1.7563e+02   0.1618 0.8715000          
                idDEU          9.0821e+01  2.0052e+01   4.5293 7.241e-06 ***      
                idDNK         -7.7102e+00  1.5063e+01  -0.5119 0.6089397          
                idESP         -2.7623e+00  1.5237e+01  -0.1813 0.8562101          
                idFIN         -3.5367e+00  1.5065e+01  -0.2348 0.8144836          
                idFRA          7.5313e+01  1.6051e+01   4.6922 3.405e-06 ***      
                idGBR          3.6976e+01  1.5955e+01   2.3175 0.0208372 *        
                idIND         -5.8318e+01  1.5379e+02  -0.3792 0.7046736          
                idISR          3.3856e+00  1.5026e+01   0.2253 0.8218124          
                idITA          6.8878e+00  1.5791e+01   0.4362 0.6628790          
                idJPN         -3.5328e+02  4.4709e+01  -7.9019 1.473e-14 ***      
                idKOR         -1.3980e+03  5.6489e+01 -24.7491 < 2.2e-16 ***      
                idNLD          1.3769e+00  1.4911e+01   0.0923 0.9264601          
                idNOR         -9.9981e+00  1.5079e+01  -0.6631 0.5075595          
                idRUS         -1.2863e+02  2.3018e+01  -5.5880 3.595e-08 ***      
                idSGP         -2.0166e+00  1.5078e+01  -0.1337 0.8936527          
                idSWE         -4.0904e+00  1.4994e+01  -0.2728 0.7851005          
                idUSA          2.1891e+02  4.5259e+01   4.8368 1.710e-06 ***      
                time1995      -3.8858e-01  1.5243e+01  -0.0255 0.9796714          
                time1996      -2.3977e+00  1.5260e+01  -0.1571 0.8752076          
                time1997       1.0686e-03  1.5284e+01   0.0001 0.9999442          
                time1998       4.3301e+00  1.5314e+01   0.2828 0.7774654          
                time1999      -4.0498e+00  1.5320e+01  -0.2643 0.7916080          
                time2000       6.5879e+00  1.5338e+01   0.4295 0.6677088          
                time2001       2.4995e+00  1.5368e+01   0.1626 0.8708551          
                time2002      -8.3793e+00  1.5399e+01  -0.5442 0.5865543          
                time2003      -1.0053e+01  1.5435e+01  -0.6513 0.5151007          
                time2004      -4.1046e+00  1.5474e+01  -0.2653 0.7909087          
                time2005      -6.6507e+00  1.5416e+01  -0.4314 0.6663321          
                time2006      -4.2377e+00  1.5477e+01  -0.2738 0.7843297          
                time2007      -9.4660e+00  1.5548e+01  -0.6088 0.5428912          
                time2008      -1.2137e+01  1.5585e+01  -0.7788 0.4364540          
                time2009       1.3765e+01  1.5641e+01   0.8800 0.3792144          
                time2010       2.2717e+00  1.5747e+01   0.1443 0.8853453          
                time2011       1.8995e+01  1.5427e+01   1.2313 0.2187272          
                time2012       2.2027e+01  1.5459e+01   1.4249 0.1547522          
                time2013       3.5171e+01  1.5472e+01   2.2733 0.0233899 *        
                time2014       2.5513e+01  1.5511e+01   1.6449 0.1005618          
                time2015       1.0752e+01  1.5552e+01   0.6914 0.4896056          
                time2016      -1.8093e+01  1.5543e+01  -1.1640 0.2449141          
                time2017       2.1142e+01  1.5588e+01   1.3563 0.1755540          
                time2018       3.7480e+01  1.5632e+01   2.3976 0.0168303 *        
                time2019       3.2637e+01  1.5707e+01   2.0778 0.0381812 *        
                time2020       5.0865e+01  1.5732e+01   3.2331 0.0012967 **       
                fesisCHN.2005  1.4402e+02  2.6441e+01   5.4468 7.700e-08 ***      
                fesisCHN.2016  7.4306e+02  3.0749e+01  24.1650 < 2.2e-16 ***      
                fesisDEU.2009  4.1004e+02  2.1697e+01  18.8988 < 2.2e-16 ***      
                fesisIND.2011 -1.1996e+02  3.7955e+01  -3.1605 0.0016602 **       
                fesisJPN.1999  2.8442e+02  3.3689e+01   8.4425 2.691e-16 ***      
                fesisJPN.2007  3.2867e+02  3.7212e+01   8.8324 < 2.2e-16 ***      
                fesisJPN.2010  8.8513e+02  6.3360e+01  13.9698 < 2.2e-16 ***      
                fesisJPN.2011  3.9178e+02  6.7203e+01   5.8298 9.395e-09 ***      
                fesisJPN.2013 -3.8236e+02  5.0089e+01  -7.6337 9.946e-14 ***      
                fesisJPN.2016  3.3316e+02  4.4816e+01   7.4339 3.991e-13 ***      
                fesisJPN.2019 -3.9593e+02  5.0088e+01  -7.9047 1.443e-14 ***      
                fesisKOR.2000 -3.7591e+02  3.7928e+01  -9.9113 < 2.2e-16 ***      
                fesisKOR.2006 -1.4910e+02  4.3687e+01  -3.4129 0.0006894 ***      
                fesisUSA.2000  9.7005e+01  3.0150e+01   3.2174 0.0013686 **       
                fesisUSA.2010  5.0555e+02  2.4300e+01  20.8048 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   68.676  1 < 2.2e-16 ***      
                Ljung-Box ARCH(1) 99.004  1 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    53.70377      
                R-squared            0.98408      
                Log-lik.(n=624)  -3338.11115      
0.05

                Formula: count~ gdp + pop      
                 (1995:2020); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 11:47:32 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 624       
                Sample: 1 to 624       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                gdp            1.9449e-12  5.5774e-14  34.8706 < 2.2e-16 ***      
                pop           -1.2135e-07  1.1921e-07  -1.0180  0.309143          
                idAUT          1.1027e+01  1.2643e+01   0.8722  0.383499          
                idBEL         -2.5398e+00  1.2611e+01  -0.2014  0.840462          
                idBRA          8.1570e+00  2.3739e+01   0.3436  0.731268          
                idCAN          2.8951e+01  1.2627e+01   2.2928  0.022234 *        
                idCHE          2.6016e+00  1.2652e+01   0.2056  0.837164          
                idCHN          1.3894e+02  1.4851e+02   0.9356  0.349890          
                idDEU          6.2388e+01  2.3954e+01   2.6045  0.009448 **       
                idDNK         -9.1273e+00  1.2690e+01  -0.7193  0.472287          
                idESP         -7.3281e-01  1.2838e+01  -0.0571  0.954501          
                idFIN         -4.9424e+00  1.2692e+01  -0.3894  0.697125          
                idFRA          7.9074e+01  1.3528e+01   5.8451 8.647e-09 ***      
                idGBR          4.0575e+01  1.3447e+01   3.0175  0.002666 **       
                idIND          3.8243e+01  1.3002e+02   0.2941  0.768766          
                idISR          2.1455e+00  1.2659e+01   0.1695  0.865476          
                idITA          1.0189e+01  1.3308e+01   0.7657  0.444207          
                idJPN         -3.5093e+02  3.7689e+01  -9.3111 < 2.2e-16 ***      
                idKOR         -1.4076e+03  4.7636e+01 -29.5485 < 2.2e-16 ***      
                idNLD          9.5229e-01  1.2561e+01   0.0758  0.939596          
                idNOR         -1.1491e+01  1.2703e+01  -0.9046  0.366073          
                idRUS         -8.5832e+01  2.1144e+01  -4.0595 5.627e-05 ***      
                idSGP         -3.4769e+00  1.2703e+01  -0.2737  0.784413          
                idSWE         -5.1958e+00  1.2631e+01  -0.4113  0.680982          
                idUSA          2.4182e+02  3.8270e+01   6.3187 5.423e-10 ***      
                time1995       4.9071e-01  1.2868e+01   0.0381  0.969594          
                time1996      -1.4207e+00  1.2882e+01  -0.1103  0.912221          
                time1997       1.0865e+00  1.2901e+01   0.0842  0.932916          
                time1998       5.5887e+00  1.2926e+01   0.4324  0.665638          
                time1999      -2.7350e+00  1.2928e+01  -0.2116  0.832531          
                time2000       6.5469e+00  1.2938e+01   0.5060  0.613031          
                time2001       2.5557e+00  1.2963e+01   0.1972  0.843780          
                time2002      -8.2477e+00  1.2990e+01  -0.6349  0.525731          
                time2003      -9.8295e+00  1.3021e+01  -0.7549  0.450618          
                time2004      -3.8089e+00  1.3054e+01  -0.2918  0.770559          
                time2005      -6.4674e+00  1.3005e+01  -0.4973  0.619160          
                time2006      -3.5243e+00  1.3054e+01  -0.2700  0.787275          
                time2007      -8.8326e+00  1.3114e+01  -0.6735  0.500884          
                time2008      -1.1413e+01  1.3145e+01  -0.8682  0.385646          
                time2009       3.0286e+00  1.3184e+01   0.2297  0.818397          
                time2010       1.6598e+01  1.3323e+01   1.2458  0.213362          
                time2011       3.2704e+01  1.3048e+01   2.5064  0.012483 *        
                time2012       3.5820e+01  1.3076e+01   2.7394  0.006354 **       
                time2013       3.5670e+01  1.3043e+01   2.7348  0.006442 **       
                time2014       2.6086e+01  1.3076e+01   1.9950  0.046535 *        
                time2015       1.1394e+01  1.3110e+01   0.8691  0.385163          
                time2016       2.4848e+00  1.3125e+01   0.1893  0.849917          
                time2017       2.3121e+01  1.3204e+01   1.7511  0.080484 .        
                time2018       3.9511e+01  1.3241e+01   2.9839  0.002971 **       
                time2019       2.4037e+01  1.3290e+01   1.8086  0.071053 .        
                time2020       4.2380e+01  1.3312e+01   3.1837  0.001536 **       
                fesisCHN.2005  1.4853e+02  2.2281e+01   6.6665 6.346e-11 ***      
                fesisCHN.2016  5.9939e+02  3.0811e+01  19.4541 < 2.2e-16 ***      
                fesisCHN.2019  3.7546e+02  4.2246e+01   8.8874 < 2.2e-16 ***      
                fesisDEU.2000  5.4584e+01  2.5873e+01   2.1097  0.035333 *        
                fesisDEU.2009  3.8775e+02  2.0480e+01  18.9332 < 2.2e-16 ***      
                fesisIND.2011 -1.0407e+02  3.2022e+01  -3.2499  0.001225 **       
                fesisJPN.1999  2.8485e+02  2.8404e+01  10.0287 < 2.2e-16 ***      
                fesisJPN.2007  3.3189e+02  3.1350e+01  10.5867 < 2.2e-16 ***      
                fesisJPN.2010  8.6771e+02  5.3381e+01  16.2549 < 2.2e-16 ***      
                fesisJPN.2011  3.9226e+02  5.6612e+01   6.9290 1.181e-11 ***      
                fesisJPN.2013 -3.5615e+02  4.0051e+01  -8.8924 < 2.2e-16 ***      
                fesisJPN.2017  4.4774e+02  4.0040e+01  11.1824 < 2.2e-16 ***      
                fesisJPN.2019 -5.1499e+02  4.6258e+01 -11.1329 < 2.2e-16 ***      
                fesisKOR.2000 -3.7936e+02  3.1997e+01 -11.8559 < 2.2e-16 ***      
                fesisKOR.2006 -1.6029e+02  3.6896e+01  -4.3445 1.660e-05 ***      
                fesisRUS.2010 -7.7925e+01  1.8499e+01  -4.2124 2.949e-05 ***      
                fesisUSA.2000  8.0040e+01  2.5882e+01   3.0925  0.002085 **       
                fesisUSA.2009  3.0041e+02  2.7891e+01  10.7707 < 2.2e-16 ***      
                fesisUSA.2013  2.9459e+02  2.8386e+01  10.3782 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   61.006  1 5.662e-15 ***      
                Ljung-Box ARCH(1) 84.989  1 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    45.24056      
                R-squared            0.98879      
                Log-lik.(n=624)  -3229.10188      

1

0.01

                Formula: count~ gdp + pop      
                 (1995:2020); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 11:47:27 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            9.5621e-01  1.2986e-02  73.6356 < 2.2e-16 ***      
                gdp           -2.0578e-14  3.6266e-14  -0.5674 0.5706789          
                pop            5.6166e-08  4.0749e-08   1.3783 0.1686816          
                idAUT          2.6173e+00  7.1583e+00   0.3656 0.7147852          
                idBEL          3.6634e-02  7.1505e+00   0.0051 0.9959141          
                idBRA         -1.0662e+01  9.9407e+00  -1.0726 0.2839366          
                idCAN          8.3045e-01  7.1626e+00   0.1159 0.9077418          
                idCHE          7.3916e-01  7.1592e+00   0.1032 0.9178070          
                idCHN         -4.6661e+01  5.2702e+01  -0.8854 0.3763557          
                idDEU          2.9239e+01  8.3034e+00   3.5213 0.0004665 ***      
                idDNK         -2.3609e-01  7.1678e+00  -0.0329 0.9737368          
                idESP         -2.0663e+00  7.1983e+00  -0.2871 0.7741833          
                idFIN          5.4597e-02  7.1673e+00   0.0076 0.9939250          
                idFRA          7.6468e+00  7.3979e+00   1.0336 0.3017752          
                idGBR          2.8332e+00  7.3378e+00   0.3861 0.6995715          
                idIND         -6.2775e+01  4.8120e+01  -1.3046 0.1926079          
                idISR          2.5966e-01  7.1605e+00   0.0363 0.9710867          
                idITA         -1.8433e+00  7.2962e+00  -0.2526 0.8006475          
                idJPN          5.5620e+01  2.3052e+01   2.4128 0.0161697 *        
                idKOR          5.2489e+01  3.6796e+01   1.4265 0.1543166          
                idNLD         -5.8534e-01  7.1403e+00  -0.0820 0.9346958          
                idNOR          1.4015e-02  7.1713e+00   0.0020 0.9984414          
                idRUS         -6.3936e+00  8.8040e+00  -0.7262 0.4680265          
                idSGP          4.3364e-01  7.1693e+00   0.0605 0.9517921          
                idSWE          1.2989e+00  7.1561e+00   0.1815 0.8560381          
                idUSA          4.1272e+01  1.4798e+01   2.7890 0.0054769 **       
                time1996      -4.2324e+00  7.1975e+00  -0.5880 0.5567582          
                time1997      -1.0383e+00  7.1934e+00  -0.1443 0.8852900          
                time1998      -6.8697e+00  7.1975e+00  -0.9545 0.3402868          
                time1999      -3.0171e+00  7.2093e+00  -0.4185 0.6757530          
                time2000      -6.6096e+00  7.2020e+00  -0.9177 0.3591754          
                time2001      -3.3582e+00  7.2051e+00  -0.4661 0.6413445          
                time2002      -7.9424e+00  7.2077e+00  -1.1019 0.2709915          
                time2003      -7.8858e+00  7.1914e+00  -1.0966 0.2733300          
                time2004       2.0254e+00  7.1956e+00   0.2815 0.7784531          
                time2005      -6.1903e-01  7.1958e+00  -0.0860 0.9314779          
                time2006      -6.3790e+00  7.2011e+00  -0.8858 0.3761057          
                time2007       6.9777e+00  7.2114e+00   0.9676 0.3336893          
                time2008      -8.4693e-01  7.2839e+00  -0.1163 0.9074787          
                time2009       1.4346e+01  7.3052e+00   1.9638 0.0500787 .        
                time2010       1.3299e+01  7.3040e+00   1.8208 0.0691973 .        
                time2011       1.2720e+00  7.3222e+00   0.1737 0.8621542          
                time2012      -1.0883e+00  7.3423e+00  -0.1482 0.8822246          
                time2013       5.2863e+00  7.3629e+00   0.7180 0.4730974          
                time2014      -9.3945e-01  7.3408e+00  -0.1280 0.8982165          
                time2015      -6.1887e+00  7.3413e+00  -0.8430 0.3996120          
                time2016       5.2818e+00  7.2998e+00   0.7236 0.4696528          
                time2017       1.5131e+01  7.3701e+00   2.0531 0.0405582 *        
                time2018       5.3625e+00  7.4058e+00   0.7241 0.4693258          
                time2019      -8.8075e+00  7.4393e+00  -1.1839 0.2369781          
                time2020       2.5252e+00  7.5621e+00   0.3339 0.7385641          
                fesisCHN.2016  1.9091e+02  1.5897e+01  12.0096 < 2.2e-16 ***      
                fesisJPN.1999  1.5026e+02  2.3608e+01   6.3648 4.242e-10 ***      
                fesisJPN.2001 -2.3254e+02  2.5900e+01  -8.9787 < 2.2e-16 ***      
                fesisJPN.2003  1.5627e+02  2.1578e+01   7.2421 1.568e-12 ***      
                fesisJPN.2008 -1.6500e+02  2.8504e+01  -5.7889 1.215e-08 ***      
                fesisJPN.2009  3.7307e+02  3.6470e+01  10.2295 < 2.2e-16 ***      
                fesisJPN.2010  4.3115e+02  3.6613e+01  11.7759 < 2.2e-16 ***      
                fesisJPN.2011 -2.1131e+02  3.7544e+01  -5.6283 2.955e-08 ***      
                fesisJPN.2012 -5.3002e+02  3.6908e+01 -14.3607 < 2.2e-16 ***      
                fesisJPN.2013 -2.5551e+02  3.6483e+01  -7.0037 7.605e-12 ***      
                fesisJPN.2014  3.5801e+02  3.0011e+01  11.9290 < 2.2e-16 ***      
                fesisJPN.2017  3.6558e+02  2.9785e+01  12.2742 < 2.2e-16 ***      
                fesisJPN.2018 -2.8079e+02  3.6783e+01  -7.6336 1.073e-13 ***      
                fesisJPN.2019 -5.8043e+02  3.6471e+01 -15.9147 < 2.2e-16 ***      
                fesisJPN.2020  2.9158e+02  3.6986e+01   7.8835 1.831e-14 ***      
                fesisKOR.2009  2.4155e+02  2.1171e+01  11.4097 < 2.2e-16 ***      
                fesisKOR.2014 -3.8210e+02  2.3022e+01 -16.5971 < 2.2e-16 ***      
                fesisKOR.2016  2.6589e+02  2.3084e+01  11.5181 < 2.2e-16 ***      
                fesisKOR.2020  3.3474e+02  2.8990e+01  11.5470 < 2.2e-16 ***      
                fesisUSA.2020 -1.6071e+02  2.7108e+01  -5.9285 5.521e-09 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                    Chi-sq df   p-value          
                Ljung-Box AR(1)    0.22851  1    0.6326          
                Ljung-Box ARCH(1) 25.59777  1 4.205e-07 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    25.23452      
                R-squared            0.99665      
                Log-lik.(n=600)  -2752.79088      
0.05

                Formula: count~ gdp + pop      
                 (1995:2020); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 11:47:26 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            9.4453e-01  1.5546e-02  60.7560 < 2.2e-16 ***      
                gdp            1.0304e-14  3.3512e-14   0.3075  0.758608          
                pop            1.6237e-07  6.1734e-08   2.6302  0.008784 **       
                idAUT          4.1616e+00  6.4344e+00   0.6468  0.518059          
                idBEL          1.1777e+00  6.4124e+00   0.1837  0.854346          
                idBRA         -2.8880e+01  1.2298e+01  -2.3484  0.019224 *        
                idCAN         -1.1527e-01  6.4287e+00  -0.0179  0.985701          
                idCHE          2.2639e+00  6.4359e+00   0.3518  0.725165          
                idCHN         -1.8263e+02  7.9287e+01  -2.3035  0.021644 *        
                idDEU          2.5915e+01  8.2415e+00   3.1444  0.001759 **       
                idDNK          1.3840e+00  6.4537e+00   0.2145  0.830274          
                idESP         -4.5180e+00  6.5342e+00  -0.6914  0.489594          
                idFIN          1.7566e+00  6.4551e+00   0.2721  0.785628          
                idFRA          3.9448e+00  6.9280e+00   0.5694  0.569328          
                idGBR         -1.0970e+00  6.8475e+00  -0.1602  0.872781          
                idIND         -1.7247e+02  6.6938e+01  -2.5766  0.010251 *        
                idISR          1.8179e+00  6.4391e+00   0.2823  0.777809          
                idITA         -5.7213e+00  6.7745e+00  -0.8445  0.398757          
                idJPN          3.4781e+01  2.1818e+01   1.5942  0.111505          
                idKOR          2.0286e+01  3.3870e+01   0.5989  0.549484          
                idNLD         -1.6147e-02  6.3862e+00  -0.0025  0.997984          
                idNOR          1.6714e+00  6.4607e+00   0.2587  0.795968          
                idRUS         -2.1603e+01  1.0106e+01  -2.1376  0.033012 *        
                idSGP          2.2096e+00  6.4607e+00   0.3420  0.732479          
                idSWE          2.5233e+00  6.4234e+00   0.3928  0.694606          
                idUSA          5.7179e+00  1.8399e+01   0.3108  0.756096          
                time1996      -4.9836e+00  6.4658e+00  -0.7708  0.441200          
                time1997      -1.9917e+00  6.4695e+00  -0.3079  0.758305          
                time1998      -7.8585e+00  6.4789e+00  -1.2129  0.225699          
                time1999      -4.3696e+00  6.5035e+00  -0.6719  0.501947          
                time2000      -8.1220e+00  6.5038e+00  -1.2488  0.212298          
                time2001      -5.1211e+00  6.5199e+00  -0.7855  0.432541          
                time2002      -9.9634e+00  6.5354e+00  -1.5245  0.127982          
                time2003      -1.0170e+01  6.5383e+00  -1.5555  0.120442          
                time2004      -4.8129e-01  6.5556e+00  -0.0734  0.941503          
                time2005      -3.2204e+00  6.5640e+00  -0.4906  0.623902          
                time2006      -9.1269e+00  6.5803e+00  -1.3870  0.166029          
                time2007       3.9973e+00  6.6047e+00   0.6052  0.545301          
                time2008      -3.9999e+00  6.6842e+00  -0.5984  0.549825          
                time2009       1.0292e+01  6.6006e+00   1.5593  0.119535          
                time2010       9.3147e+00  6.6199e+00   1.4071  0.159996          
                time2011       4.5602e+00  6.6425e+00   0.6865  0.492690          
                time2012       2.1530e+00  6.6751e+00   0.3225  0.747170          
                time2013      -8.2404e+00  6.7854e+00  -1.2144  0.225134          
                time2014      -2.9158e+00  6.6470e+00  -0.4387  0.661083          
                time2015      -8.4386e+00  6.6605e+00  -1.2670  0.205735          
                time2016       3.0664e+00  6.6189e+00   0.4633  0.643359          
                time2017       1.2920e+01  6.6800e+00   1.9341  0.053642 .        
                time2018       3.2803e+00  6.7129e+00   0.4887  0.625292          
                time2019      -1.0856e+01  6.7521e+00  -1.6078  0.108489          
                time2020       3.5980e-01  6.8804e+00   0.0523  0.958314          
                fesisCHN.2016  1.8779e+02  1.6247e+01  11.5583 < 2.2e-16 ***      
                fesisIND.2009 -3.7358e+01  1.6044e+01  -2.3285  0.020268 *        
                fesisJPN.1999  1.5240e+02  2.1156e+01   7.2038 2.050e-12 ***      
                fesisJPN.2001 -2.3008e+02  2.3236e+01  -9.9019 < 2.2e-16 ***      
                fesisJPN.2003  1.5615e+02  1.9286e+01   8.0964 3.987e-15 ***      
                fesisJPN.2008 -1.6111e+02  2.5667e+01  -6.2770 7.246e-10 ***      
                fesisJPN.2009  3.7381e+02  3.2622e+01  11.4588 < 2.2e-16 ***      
                fesisJPN.2010  4.3397e+02  3.2834e+01  13.2170 < 2.2e-16 ***      
                fesisJPN.2011 -2.1019e+02  3.4416e+01  -6.1072 1.977e-09 ***      
                fesisJPN.2012 -5.2477e+02  3.3307e+01 -15.7558 < 2.2e-16 ***      
                fesisJPN.2013 -2.4010e+02  3.2649e+01  -7.3542 7.449e-13 ***      
                fesisJPN.2014  3.4290e+02  2.7022e+01  12.6896 < 2.2e-16 ***      
                fesisJPN.2017  3.6582e+02  2.6624e+01  13.7403 < 2.2e-16 ***      
                fesisJPN.2018 -2.7624e+02  3.3106e+01  -8.3443 6.393e-16 ***      
                fesisJPN.2019 -5.7921e+02  3.2606e+01 -17.7643 < 2.2e-16 ***      
                fesisJPN.2020  2.8663e+02  3.3463e+01   8.5655 < 2.2e-16 ***      
                fesisKOR.2009  2.9720e+02  2.1178e+01  14.0336 < 2.2e-16 ***      
                fesisKOR.2011 -1.6499e+02  2.4311e+01  -6.7866 3.115e-11 ***      
                fesisKOR.2013  1.8983e+02  2.8443e+01   6.6740 6.350e-11 ***      
                fesisKOR.2014 -4.6763e+02  2.8459e+01 -16.4315 < 2.2e-16 ***      
                fesisKOR.2016  2.6014e+02  2.0728e+01  12.5498 < 2.2e-16 ***      
                fesisKOR.2020  3.3515e+02  2.5937e+01  12.9214 < 2.2e-16 ***      
                fesisUSA.2013  1.9360e+02  2.4319e+01   7.9608 1.067e-14 ***      
                fesisUSA.2014 -1.8120e+02  2.5154e+01  -7.2035 2.053e-12 ***      
                fesisUSA.2020 -1.5907e+02  2.4964e+01  -6.3720 4.091e-10 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                    Chi-sq df  p-value          
                Ljung-Box AR(1)    0.20172  1   0.6533          
                Ljung-Box ARCH(1) 26.36955  1 2.82e-07 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    22.55170      
                R-squared            0.99735      
                Log-lik.(n=600)  -2682.84934      

Log Count

0

0.01

                Formula: log_count~ lgdp + lpop      
                 (1995:2020); p.value: 0.01; AR: 0      
                      
                Date: Thu Dec  7 11:47:33 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 624       
                Sample: 1 to 624       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error   t-stat   p-value          
                lgdp           1.968895  0.113858  17.2925 < 2.2e-16 ***      
                lpop          -3.194237  0.519293  -6.1511 1.473e-09 ***      
                idAUT         -0.041275  0.454212  -0.0909 0.9276280          
                idBEL         -0.303132  0.345014  -0.8786 0.3799943          
                idBRA          4.184222  1.104672   3.7877 0.0001686 ***      
                idCAN          2.543215  0.244949  10.3827 < 2.2e-16 ***      
                idCHE         -1.273278  0.560586  -2.2713 0.0235088 *        
                idCHN          9.402183  2.033774   4.6230 4.709e-06 ***      
                idDEU          5.836508  0.715148   8.1613 2.234e-15 ***      
                idDNK         -4.241388  0.744681  -5.6956 1.996e-08 ***      
                idESP          2.545040  0.409670   6.2124 1.024e-09 ***      
                idFIN         -0.767712  0.662654  -1.1585 0.2471414          
                idFRA          4.935691  0.566127   8.7183 < 2.2e-16 ***      
                idGBR          4.618535  0.557461   8.2849 8.907e-16 ***      
                idIND          5.280346  1.963013   2.6899 0.0073621 **       
                idISR         -1.731101  0.617802  -2.8020 0.0052555 **       
                idITA          3.477645  0.529866   6.5633 1.210e-10 ***      
                idJPN         -0.803781  0.915325  -0.8781 0.3802491          
                idKOR         -7.312124  0.721377 -10.1363 < 2.2e-16 ***      
                idNLD          1.412614  0.168241   8.3964 3.856e-16 ***      
                idNOR         -7.046315  0.808565  -8.7146 < 2.2e-16 ***      
                idRUS         -0.935535  0.959048  -0.9755 0.3297454          
                idSGP         -2.521857  0.798023  -3.1601 0.0016629 **       
                idSWE         -4.370742  0.485584  -9.0010 < 2.2e-16 ***      
                idUSA          7.770340  1.299390   5.9800 3.999e-09 ***      
                time1995       0.119480  8.041662   0.0149 0.9881512          
                time1996       0.157417  8.045563   0.0196 0.9843969          
                time1997       0.432910  8.049926   0.0538 0.9571312          
                time1998       0.307062  8.053270   0.0381 0.9695986          
                time1999       0.447848  8.056249   0.0556 0.9556883          
                time2000       0.524542  8.059518   0.0651 0.9481309          
                time2001       0.504537  8.063159   0.0626 0.9501290          
                time2002       0.370622  8.063436   0.0460 0.9633560          
                time2003       0.402590  8.067909   0.0499 0.9602199          
                time2004       0.402487  8.067850   0.0499 0.9602297          
                time2005       0.542983  8.071874   0.0673 0.9463922          
                time2006       0.585181  8.075584   0.0725 0.9422596          
                time2007       0.686734  8.084236   0.0849 0.9323340          
                time2008       0.824084  8.090043   0.1019 0.9189015          
                time2009       1.043879  8.095259   0.1289 0.8974444          
                time2010       1.223264  8.098343   0.1511 0.8799902          
                time2011       1.349238  8.101617   0.1665 0.8677931          
                time2012       1.377015  8.106084   0.1699 0.8651710          
                time2013       1.404196  8.109673   0.1732 0.8625961          
                time2014       1.357046  8.113237   0.1673 0.8672239          
                time2015       1.289307  8.116647   0.1588 0.8738470          
                time2016       1.467273  8.121055   0.1807 0.8566885          
                time2017       1.529826  8.124094   0.1883 0.8507046          
                time2018       1.690330  8.126995   0.2080 0.8353134          
                time2019       1.527311  8.127506   0.1879 0.8510090          
                time2020       1.797478  8.129783   0.2211 0.8250975          
                fesisAUT.2009  0.920924  0.142245   6.4742 2.100e-10 ***      
                fesisBEL.2005  0.576951  0.144862   3.9828 7.719e-05 ***      
                fesisBRA.2010 -1.137209  0.184030  -6.1795 1.246e-09 ***      
                fesisBRA.2015  0.806599  0.215340   3.7457 0.0001987 ***      
                fesisCHE.1997 -1.682395  0.433785  -3.8784 0.0001177 ***      
                fesisCHE.1998  1.818427  0.362239   5.0200 6.973e-07 ***      
                fesisDEU.2007  0.602439  0.150294   4.0084 6.948e-05 ***      
                fesisDNK.1997 -1.277318  0.267494  -4.7751 2.301e-06 ***      
                fesisDNK.2012 -1.203912  0.225469  -5.3396 1.360e-07 ***      
                fesisDNK.2015  0.999393  0.250669   3.9869 7.590e-05 ***      
                fesisFIN.2003 -0.526759  0.154094  -3.4184 0.0006761 ***      
                fesisISR.2002 -0.509187  0.176941  -2.8777 0.0041598 **       
                fesisISR.2019 -0.936090  0.270424  -3.4616 0.0005784 ***      
                fesisKOR.2003  0.706269  0.155208   4.5505 6.580e-06 ***      
                fesisNLD.2008 -0.850893  0.142301  -5.9795 4.009e-09 ***      
                fesisRUS.2007 -0.714309  0.170370  -4.1927 3.208e-05 ***      
                fesisRUS.2016 -1.014869  0.198846  -5.1038 4.580e-07 ***      
                fesisSGP.2004  0.480915  0.167417   2.8726 0.0042274 **       
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df p-value        
                Ljung-Box AR(1)   5.7197  1 0.01678 *      
                Ljung-Box ARCH(1) 3.5632  1 0.05907 .      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.34658      
                R-squared           0.97053      
                Log-lik.(n=624)  -189.70302      
0.05

                Formula: log_count~ lgdp + lpop      
                 (1995:2020); p.value: 0.05; AR: 0      
                      
                Date: Thu Dec  7 11:47:31 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 624       
                Sample: 1 to 624       
                      
                SPECIFIC mean equation:      
                      
                                  coef std.error  t-stat   p-value          
                lgdp           1.72646   0.14408 11.9823 < 2.2e-16 ***      
                lpop          -2.58602   0.53959 -4.7925 2.127e-06 ***      
                idAUT          0.15500   0.43633  0.3552 0.7225497          
                idBEL         -0.22711   0.33040 -0.6874 0.4921426          
                idBRA          3.36335   1.11427  3.0184 0.0026597 **       
                idCAN          2.92798   0.29584  9.8973 < 2.2e-16 ***      
                idCHE         -0.80955   0.55041 -1.4708 0.1419202          
                idCHN          7.30625   2.06986  3.5298 0.0004510 ***      
                idDEU          5.16298   0.72203  7.1506 2.794e-12 ***      
                idDNK         -3.30192   0.77530 -4.2589 2.420e-05 ***      
                idESP          1.88438   0.43709  4.3112 1.927e-05 ***      
                idFIN         -0.40148   0.63949 -0.6278 0.5303831          
                idFRA          4.34195   0.57782  7.5143 2.361e-13 ***      
                idGBR          4.00130   0.57371  6.9745 8.925e-12 ***      
                idIND          3.76970   1.93787  1.9453 0.0522548 .        
                idISR         -1.11770   0.62050 -1.8013 0.0722104 .        
                idITA          2.89102   0.54529  5.3018 1.669e-07 ***      
                idJPN         -0.47538   0.89096 -0.5336 0.5938614          
                idKOR         -6.16994   0.81573 -7.5637 1.676e-13 ***      
                idNLD          1.36914   0.16160  8.4724 2.249e-16 ***      
                idNOR         -5.83579   0.87025 -6.7059 5.018e-11 ***      
                idRUS         -1.22575   0.91878 -1.3341 0.1827268          
                idSGP         -1.97234   0.77879 -2.5326 0.0116018 *        
                idSWE         -3.38693   0.53029 -6.3870 3.629e-10 ***      
                idUSA          6.73158   1.28666  5.2318 2.398e-07 ***      
                time1995      -3.42798   7.74006 -0.4429 0.6580228          
                time1996      -3.38735   7.74361 -0.4374 0.6619666          
                time1997      -3.06984   7.74699 -0.3963 0.6920668          
                time1998      -3.22140   7.74947 -0.4157 0.6777987          
                time1999      -3.05709   7.75106 -0.3944 0.6934330          
                time2000      -2.97269   7.75378 -0.3834 0.7015830          
                time2001      -2.96301   7.75770 -0.3819 0.7026510          
                time2002      -3.11134   7.75866 -0.4010 0.6885661          
                time2003      -3.04695   7.76231 -0.3925 0.6948191          
                time2004      -3.07521   7.76384 -0.3961 0.6921905          
                time2005      -2.90670   7.76693 -0.3742 0.7083708          
                time2006      -2.82425   7.77026 -0.3635 0.7163953          
                time2007      -2.72135   7.77851 -0.3499 0.7265826          
                time2008      -2.58534   7.78410 -0.3321 0.7399187          
                time2009      -2.37602   7.78955 -0.3050 0.7604626          
                time2010      -2.22834   7.79198 -0.2860 0.7750027          
                time2011      -2.09977   7.79494 -0.2694 0.7877420          
                time2012      -2.07686   7.79905 -0.2663 0.7901119          
                time2013      -2.06617   7.80276 -0.2648 0.7912641          
                time2014      -2.11243   7.80607 -0.2706 0.7867906          
                time2015      -2.20535   7.80932 -0.2824 0.7777442          
                time2016      -2.02757   7.81344 -0.2595 0.7953496          
                time2017      -1.92261   7.81601 -0.2460 0.8057871          
                time2018      -1.75981   7.81864 -0.2251 0.8220025          
                time2019      -1.92068   7.81901 -0.2456 0.8060513          
                time2020      -1.66338   7.82176 -0.2127 0.8316713          
                fesisAUT.2009  0.91277   0.13437  6.7932 2.880e-11 ***      
                fesisBEL.2004  0.54743   0.14013  3.9066 0.0001054 ***      
                fesisBRA.1999 -0.42124   0.19679 -2.1406 0.0327507 *        
                fesisBRA.2010 -1.02007   0.18052 -5.6506 2.579e-08 ***      
                fesisBRA.2015  1.41505   0.27850  5.0810 5.166e-07 ***      
                fesisBRA.2017 -0.94625   0.28791 -3.2866 0.0010793 **       
                fesisCAN.1998 -0.70162   0.20641 -3.3991 0.0007255 ***      
                fesisCHE.1997 -1.72258   0.40724 -4.2299 2.742e-05 ***      
                fesisCHE.1998  1.77803   0.34081  5.2170 2.588e-07 ***      
                fesisCHN.2002  0.48187   0.19684  2.4480 0.0146781 *        
                fesisDEU.2007  0.60894   0.14280  4.2643 2.364e-05 ***      
                fesisDNK.1997 -2.13271   0.40722 -5.2372 2.333e-07 ***      
                fesisDNK.1998  1.39481   0.38403  3.6320 0.0003077 ***      
                fesisDNK.2001 -0.69591   0.21758 -3.1984 0.0014624 **       
                fesisDNK.2012 -1.11253   0.21758 -5.1132 4.393e-07 ***      
                fesisDNK.2015  1.00804   0.23521  4.2857 2.154e-05 ***      
                fesisESP.2013  0.39040   0.14384  2.7142 0.0068547 **       
                fesisFIN.2003 -0.54555   0.14627 -3.7298 0.0002117 ***      
                fesisISR.2002 -0.61473   0.16811 -3.6567 0.0002803 ***      
                fesisISR.2019 -0.96083   0.25420 -3.7798 0.0001743 ***      
                fesisKOR.2004  0.71982   0.14665  4.9085 1.214e-06 ***      
                fesisNLD.2008 -0.86400   0.13450 -6.4239 2.897e-10 ***      
                fesisNOR.2006 -0.83349   0.19507 -4.2727 2.279e-05 ***      
                fesisNOR.2010  0.77297   0.19553  3.9532 8.726e-05 ***      
                fesisRUS.2007 -0.63205   0.16705 -3.7835 0.0001718 ***      
                fesisRUS.2016 -0.98680   0.18674 -5.2843 1.828e-07 ***      
                fesisSGP.2004  0.43627   0.15856  2.7514 0.0061319 **       
                fesisSWE.2004 -0.40926   0.14008 -2.9216 0.0036266 **       
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                    Chi-sq df p-value      
                Ljung-Box AR(1)   1.727956  1  0.1887      
                Ljung-Box ARCH(1) 0.041532  1  0.8385      
                                                 
                SE of regression    0.32518      
                R-squared           0.97452      
                Log-lik.(n=624)  -144.93570      

1

0.01

                Formula: log_count~ lgdp + lpop      
                 (1995:2020); p.value: 0.01; AR: 1      
                      
                Date: Thu Dec  7 11:48:13 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.207660  0.037596  5.5234 5.225e-08 ***      
                lgdp           1.549031  0.140935 10.9911 < 2.2e-16 ***      
                lpop          -2.201526  0.491242 -4.4816 9.093e-06 ***      
                idAUT          0.263385  0.412295  0.6388 0.5232121          
                idBEL          0.275039  0.310707  0.8852 0.3764502          
                idBRA          2.626166  1.017407  2.5812 0.0101133 *        
                idCAN          1.837412  0.245985  7.4696 3.353e-13 ***      
                idCHE         -0.387711  0.572207 -0.6776 0.4983407          
                idCHN          5.103280  1.927456  2.6477 0.0083470 **       
                idDEU          4.186103  0.685642  6.1054 1.989e-09 ***      
                idDNK         -2.535574  0.753790 -3.3638 0.0008247 ***      
                idESP          1.790751  0.393525  4.5505 6.646e-06 ***      
                idFIN         -0.482224  0.607473 -0.7938 0.4276566          
                idFRA          3.581925  0.548833  6.5264 1.582e-10 ***      
                idGBR          3.291754  0.538761  6.1099 1.937e-09 ***      
                idIND          2.912104  1.777265  1.6385 0.1019068          
                idISR         -1.152123  0.535696 -2.1507 0.0319530 *        
                idITA          2.412815  0.501864  4.8077 1.994e-06 ***      
                idJPN         -1.166867  0.836401 -1.3951 0.1635708          
                idKOR         -5.545549  0.775199 -7.1537 2.836e-12 ***      
                idNLD          1.200632  0.174047  6.8983 1.511e-11 ***      
                idNOR         -4.936249  0.808135 -6.1082 1.956e-09 ***      
                idRUS         -1.367949  0.858392 -1.5936 0.1116200          
                idSGP         -1.251441  0.670695 -1.8659 0.0626115 .        
                idSWE         -3.166287  0.489636 -6.4666 2.286e-10 ***      
                idUSA          5.302560  1.206731  4.3942 1.345e-05 ***      
                time1996      -5.100761  7.199219 -0.7085 0.4789376          
                time1997      -4.809293  7.202918 -0.6677 0.5046252          
                time1998      -5.048974  7.206133 -0.7006 0.4838304          
                time1999      -4.892210  7.208792 -0.6786 0.4976602          
                time2000      -4.843358  7.211727 -0.6716 0.5021354          
                time2001      -4.819962  7.215145 -0.6680 0.5044038          
                time2002      -5.022401  7.218578 -0.6958 0.4868850          
                time2003      -4.951227  7.221052 -0.6857 0.4932249          
                time2004      -4.935008  7.223959 -0.6831 0.4948151          
                time2005      -4.779449  7.227073 -0.6613 0.5086919          
                time2006      -4.720316  7.230512 -0.6528 0.5141482          
                time2007      -4.648453  7.238639 -0.6422 0.5210400          
                time2008      -4.581093  7.242960 -0.6325 0.5273412          
                time2009      -4.371259  7.245054 -0.6033 0.5465390          
                time2010      -4.226499  7.247870 -0.5831 0.5600503          
                time2011      -4.134810  7.250839 -0.5703 0.5687489          
                time2012      -4.137388  7.254617 -0.5703 0.5687094          
                time2013      -4.106494  7.257821 -0.5658 0.5717683          
                time2014      -4.204277  7.261135 -0.5790 0.5628287          
                time2015      -4.210424  7.264971 -0.5796 0.5624643          
                time2016      -4.077690  7.268152 -0.5610 0.5750115          
                time2017      -3.970254  7.270869 -0.5460 0.5852626          
                time2018      -3.874493  7.273423 -0.5327 0.5944710          
                time2019      -4.113675  7.275952 -0.5654 0.5720557          
                time2020      -3.827537  7.277953 -0.5259 0.5991726          
                fesisAUT.2009  0.727512  0.144169  5.0463 6.209e-07 ***      
                fesisBRA.2010 -0.997468  0.184418 -5.4087 9.636e-08 ***      
                fesisBRA.2015  1.276861  0.290486  4.3956 1.336e-05 ***      
                fesisBRA.2017 -1.725311  0.424268 -4.0666 5.499e-05 ***      
                fesisBRA.2018  1.170488  0.401809  2.9130 0.0037308 **       
                fesisCHE.1997 -2.036319  0.489967 -4.1560 3.777e-05 ***      
                fesisCHE.1998  1.860293  0.354013  5.2549 2.153e-07 ***      
                fesisCHN.1997  1.085597  0.365638  2.9691 0.0031229 **       
                fesisDEU.2007  0.482485  0.149087  3.2363 0.0012870 **       
                fesisDNK.1997 -2.555406  0.490247 -5.2125 2.678e-07 ***      
                fesisDNK.1998  1.747625  0.403324  4.3331 1.761e-05 ***      
                fesisDNK.2001 -1.757497  0.399559 -4.3986 1.318e-05 ***      
                fesisDNK.2002  1.203722  0.363762  3.3091 0.0009998 ***      
                fesisDNK.2012 -1.301176  0.269447 -4.8291 1.800e-06 ***      
                fesisDNK.2014  1.071039  0.277480  3.8599 0.0001275 ***      
                fesisISR.2009 -0.523238  0.153199 -3.4154 0.0006858 ***      
                fesisNLD.2007 -0.687375  0.144902 -4.7437 2.704e-06 ***      
                fesisNOR.2006 -1.210570  0.362895 -3.3359 0.0009102 ***      
                fesisNOR.2007  1.034499  0.359221  2.8798 0.0041403 **       
                fesisRUS.2007 -0.508767  0.173103 -2.9391 0.0034357 **       
                fesisRUS.2015 -0.782291  0.190551 -4.1054 4.675e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                     Chi-sq df p-value      
                Ljung-Box AR(1)   0.2967955  1  0.5859      
                Ljung-Box ARCH(1) 0.0027698  1  0.9580      
                                                 
                SE of regression    0.33841      
                R-squared           0.97209      
                Log-lik.(n=600)  -165.26247      
0.05

                Formula: log_count~ lgdp + lpop      
                 (1995:2020); p.value: 0.05; AR: 1      
                      
                Date: Thu Dec  7 11:48:11 2023       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.178259  0.036278  4.9137 1.202e-06 ***      
                lgdp           1.466636  0.134961 10.8671 < 2.2e-16 ***      
                lpop          -2.070621  0.484136 -4.2769 2.258e-05 ***      
                idAUT          0.243235  0.411674  0.5908 0.5548836          
                idBEL          0.069869  0.333937  0.2092 0.8343530          
                idBRA          2.359681  1.009156  2.3383 0.0197542 *        
                idCAN          1.832987  0.238686  7.6795 8.074e-14 ***      
                idCHE         -0.399117  0.557967 -0.7153 0.4747441          
                idCHN          4.719758  1.908402  2.4731 0.0137139 *        
                idDEU          4.118986  0.673245  6.1181 1.873e-09 ***      
                idDNK         -2.398374  0.733494 -3.2698 0.0011481 **       
                idESP          1.645854  0.385382  4.2707 2.320e-05 ***      
                idFIN         -0.893733  0.664007 -1.3460 0.1789035          
                idFRA          3.523005  0.537818  6.5506 1.389e-10 ***      
                idGBR          3.206113  0.527957  6.0727 2.442e-09 ***      
                idIND          1.952215  1.765385  1.1058 0.2693157          
                idISR         -0.859884  0.560373 -1.5345 0.1255228          
                idITA          2.304568  0.493369  4.6711 3.827e-06 ***      
                idJPN         -0.772591  0.837451 -0.9226 0.3566725          
                idKOR         -5.323466  0.758753 -7.0161 7.203e-12 ***      
                idNLD          1.162742  0.168485  6.9012 1.518e-11 ***      
                idNOR         -4.730734  0.789705 -5.9905 3.926e-09 ***      
                idRUS         -1.340665  0.861558 -1.5561 0.1202990          
                idSGP         -1.208067  0.668189 -1.8080 0.0711930 .        
                idSWE         -2.985261  0.476226 -6.2686 7.701e-10 ***      
                idUSA          5.267201  1.195051  4.4075 1.273e-05 ***      
                time1996      -4.909337  7.228391 -0.6792 0.4973320          
                time1997      -4.723027  7.231862 -0.6531 0.5139918          
                time1998      -4.957225  7.234948 -0.6852 0.4935395          
                time1999      -4.721158  7.238300 -0.6522 0.5145324          
                time2000      -4.617998  7.241382 -0.6377 0.5239367          
                time2001      -4.683426  7.243516 -0.6466 0.5181990          
                time2002      -4.860959  7.245357 -0.6709 0.5025801          
                time2003      -4.745003  7.248018 -0.6547 0.5129770          
                time2004      -4.784202  7.251384 -0.6598 0.5096997          
                time2005      -4.624423  7.254485 -0.6375 0.5241099          
                time2006      -4.557550  7.257753 -0.6280 0.5303106          
                time2007      -4.486057  7.265786 -0.6174 0.5372287          
                time2008      -4.470541  7.269523 -0.6150 0.5388454          
                time2009      -4.221445  7.272529 -0.5805 0.5618549          
                time2010      -4.069303  7.275173 -0.5593 0.5761717          
                time2011      -3.970656  7.277978 -0.5456 0.5855964          
                time2012      -3.967906  7.281584 -0.5449 0.5860415          
                time2013      -3.937034  7.284837 -0.5404 0.5891253          
                time2014      -4.033052  7.288159 -0.5534 0.5802494          
                time2015      -4.038267  7.292067 -0.5538 0.5799631          
                time2016      -3.903909  7.295262 -0.5351 0.5927909          
                time2017      -3.790956  7.297891 -0.5195 0.6036633          
                time2018      -3.689478  7.300322 -0.5054 0.6135038          
                time2019      -3.922259  7.302663 -0.5371 0.5914302          
                time2020      -3.645527  7.304748 -0.4991 0.6179480          
                fesisAUT.2009  0.775757  0.135814  5.7119 1.889e-08 ***      
                fesisBEL.2000 -1.086288  0.361647 -3.0037 0.0027964 **       
                fesisBEL.2001  1.347698  0.332157  4.0574 5.730e-05 ***      
                fesisBRA.2010 -0.986066  0.172681 -5.7104 1.905e-08 ***      
                fesisBRA.2015  1.280029  0.271531  4.7141 3.128e-06 ***      
                fesisBRA.2017 -1.711190  0.396572 -4.3150 1.914e-05 ***      
                fesisBRA.2018  1.132309  0.375720  3.0137 0.0027077 **       
                fesisCHE.1997 -1.914616  0.458729 -4.1737 3.516e-05 ***      
                fesisCHE.1998  2.004857  0.354943  5.6484 2.679e-08 ***      
                fesisCHE.2003 -1.139596  0.355487 -3.2057 0.0014307 **       
                fesisCHE.2004  0.946308  0.333541  2.8372 0.0047308 **       
                fesisCHN.1997  1.269451  0.344452  3.6854 0.0002525 ***      
                fesisDEU.2007  0.540019  0.141284  3.8222 0.0001484 ***      
                fesisDNK.1997 -2.427770  0.458999 -5.2893 1.817e-07 ***      
                fesisDNK.1998  1.640556  0.377549  4.3453 1.676e-05 ***      
                fesisDNK.2001 -1.708422  0.373685 -4.5718 6.059e-06 ***      
                fesisDNK.2002  1.172194  0.340178  3.4458 0.0006157 ***      
                fesisDNK.2012 -1.311373  0.251920 -5.2055 2.798e-07 ***      
                fesisDNK.2014  1.076700  0.259351  4.1515 3.864e-05 ***      
                fesisFIN.1997  1.190326  0.397646  2.9934 0.0028909 **       
                fesisFIN.1999 -0.835998  0.240982 -3.4691 0.0005658 ***      
                fesisIND.1997  1.004782  0.397338  2.5288 0.0117428 *        
                fesisIND.1999 -1.024821  0.323737 -3.1656 0.0016391 **       
                fesisIND.2001  0.861494  0.245084  3.5151 0.0004783 ***      
                fesisISR.2002 -0.543906  0.192677 -2.8229 0.0049431 **       
                fesisISR.2008  1.355533  0.349370  3.8799 0.0001180 ***      
                fesisISR.2009 -1.512469  0.338336 -4.4703 9.609e-06 ***      
                fesisKOR.2004  0.490809  0.146068  3.3601 0.0008367 ***      
                fesisNLD.2007 -0.675445  0.135897 -4.9703 9.111e-07 ***      
                fesisNOR.2006 -1.188902  0.339392 -3.5030 0.0004999 ***      
                fesisNOR.2007  1.028442  0.335821  3.0625 0.0023097 **       
                fesisRUS.2007 -0.434608  0.163163 -2.6636 0.0079717 **       
                fesisRUS.2015 -0.809194  0.178291 -4.5386 7.052e-06 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df p-value      
                Ljung-Box AR(1)   0.52105  1  0.4704      
                Ljung-Box ARCH(1) 0.27098  1  0.6027      
                                                 
                SE of regression    0.31629      
                R-squared           0.97617      
                Log-lik.(n=600)  -118.69831